Univ.-Prof. Dr. Carsten Schneider
Johannes Kepler University Linz
RISC - Research Institute for Symbolic Computation
Carsten.Schneider@risc.jku.at (Tel: +43 732 2468 9966)

Publications

Note: Further information can be found, e.g., on MathSciNet, Google Scholar, ResearchGate, zbMath, Publons , Inspire, or ORCID.



Type: [any] [Papers] [Theses] [Technical Reports] [Other
Year: [any] [2022] [2021] [2020] [2019] [2018] [2017] [2016] [2015] [2014] [2013] [earlier

    1. J. Blümlein, P. Marquard, C. Schneider, K. Schönwald. The three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements. Journal of High Energy Physics 2022(193), pp. 0-32. 2022. ISSN 1029-8479 . arXiv:2111.12401 [hep-ph]. [url] [bib]
    2. J. Blümlein, C. Schneider. The SAGEX Review on Scattering Amplitudes, Chapter 4: Multi-loop Feynman Integrals. Technical report no. 22-03 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. March 2022. arXiv:2203.13015 [hep-th]. [url] [pdf] [bib]
    3. G. Travaglini, A. Brandhuber, P. Dorey, T. McLoughlin, S. Abreu, Z. Bern, N. E. J. Bjerrum-Bohr, J. Bluemlein, R. Britto, J. J. M. Carrasco, D. Chicherin, M. Chiodaroli, P. H. Damgaard, V. Del Duca, L. J. Dixon, D. Dorigoni, C. Duhr, Y. Geyer, M. B. Green, E. Herrmann, P. Heslop, H. Johansson, G. P. Korchemsky, D. A. Kosower, L. Mason, R. Monteiro, D. O'Connell, G. Papathanasiou, L. Plante, J. Plefka, A. Puhm, A.-M. Raclariu, R. Roiban, C. Schneider, J. Trnka, P. Vanhove, C. Wen, C. D. White. The SAGEX Review on Scattering Amplitudes. arxiv.2203.13011 [hep-th]. Technical report, 2022. [url] [bib]
    4. G. Travaglini, A. Brandhuber, P. Dorey, T. McLoughlin, S. Abreu, Z. Bern, N. E. J. Bjerrum-Bohr, J. Bluemlein, R. Britto, J. J. M. Carrasco, D. Chicherin, M. Chiodaroli, P. H. Damgaard, V. Del Duca, L. J. Dixon, D. Dorigoni, C. Duhr, Y. Geyer, M. B. Green, E. Herrmann, P. Heslop, H. Johansson, G. P. Korchemsky, D. A. Kosower, L. Mason, R. Monteiro, D. O'Connell, G. Papathanasiou, L. Plante, J. Plefka, A. Puhm, A.-M. Raclariu, R. Roiban, C. Schneider, J. Trnka, P. Vanhove, C. Wen, C. D. White. The SAGEX Review on Scattering Amplitudes. arxiv.2203.13011 [hep-th]. Technical report, 2022. [url] [bib]
    5. J. Blümlein, P. Marquard, C. Schneider, K. Schönwald. The Two-Loop Massless Off-Shell QCD Operator Matrix Elements to Finite Terms. Nuclear Physics B 980(115794), pp. 1-131. 2022. ISSN 0550-3213. arXiv:2202.03216 [hep-ph]. [url] [bib]
    6. C. Schneider. The Absent-Minded Passengers Problem: A Motivating Challenge Solved by Computer Algebra. Mathematics in Computer Science 15(4), pp. 577-588. 2021. ISSN 1661-8289. arXiv:2003.01921 [math.CO]. [url] [bib]
    7. J. Ablinger, J. Blümlein, P. Marquard, N. Rana, C. Schneider. Three loop heavy quark form factors and their asymptotic behavior. In: Proc.of 23rd DAE-BRNS High Energy Physics Symposium 2018, Behera, P.K., Bhatnagar, V., Shukla, P., Sinha, R. (ed.), Springer Proceedings in Physics 261, pp. 91-100. 2021. Springer, ISBN 978-981-33-4407-5. arXiv:1906.05829 [hep-ph]. [url] [pdf] [bib]
    8. J. Ablinger, C. Schneider. Solving linear difference equations with coefficients in rings with idempotent representations. In: Proceedings of the 2021 International Symposium on Symbolic and Algebraic Computation (Proc. ISSAC 21), Marc Mezzarobba (ed.), pp. 27-34. 2021. ISBN 978-1-4503-8382-0/21/06. arXiv:2102.03307 [cs.SC]. [url] [pdf] [bib]
    9. Carsten Schneider, Wadim Zudilin. A case study for ζ(4). In: Transcendence in Algebra, Combinatorics, Geometry and Number Theory. TRANS 2019, Alin Bostan and Kilian Raschel (ed.), Proceedings in Mathematics & Statistics 373, pp. 421-435. 2021. Springer, ISBN 978-3-030-84304-5. arXiv:2004.08158 [math.NT]. [url] [pdf] [bib]
  10. Sergei A. Abramov, Manuel Bronstein, Marko Petkovšek, Carsten Schneider. On Rational and Hypergeometric Solutions of Linear Ordinary Difference Equations in ΠΣ∗-field extensions. J. Symb. Comput. 107, pp. 23-66. 2021. ISSN 0747-7171. arXiv:2005.04944 [cs.SC]. [url] [pdf] [bib]
  11. A. Behring, J. Blümlein, A. De Freitas, A. von Manteuffel, K. Schönwald, and C. Schneider. The Polarized Transition Matrix Element $A_{g, q}(N)$ of the Variable Flavor Number Scheme at $O(alpha_s^3)$. Nuclear Physics B 964, pp. 115331-115356. 2021. ISSN 0550-3213. arXiv:2101.05733 [hep-ph]. [url] [bib]
  12. C. Schneider. Term Algebras, Canonical Representations and Difference Ring Theory for Symbolic Summation. In: Anti-Differentiation and the Calculation of Feynman Amplitudes, J. Blümlein and C. Schneider (ed.), Texts and Monographs in Symbolic Computuation , pp. 423-485. 2021. Springer, ISBN 978-3-030-80218-9. arXiv:2102.01471 [cs.SC], RISC-Linz Report Series No. 21-03. [url] [pdf] [bib]
  13. J. Ablinger, J. Blümlein, C. Schneider. Iterated integrals over letters induced by quadratic forms. Physical Review D 103(9), pp. 096025-096035. 2021. ISSN 2470-0029. arXiv:2103.08330 [hep-th]. [url] [bib]
  14. J. Ablinger, J. Blümlein, A. De Freitas, M. Saragnese, C. Schneider, K. Schönwald. New 2– and 3–loop heavy flavor corrections to unpolarized and polarized deep-inelastic scattering. Technical report no. 21-14 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. July 2021. [url] [pdf] [bib]
  15. J. Blümlein, A. De Freitas, M. Saragnese, K. Schönwald, C. Schneider. The Logarithmic Contributions to the Polarized $O(alpha_s^3)$ Asymptotic Massive Wilson Coefficients and Operator Matrix Elements in Deeply Inelastic Scattering. Physical Review D 104(3), pp. 1-73. 2021. ISSN 2470-0029. arXiv:2105.09572 [hep-ph]. [url] [bib]
  16. J. Blümlein, P. Marquard, C. Schneider, K. Schönwald. The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements. Nucl. Phys. B 971, pp. 1-44. 2021. ISSN 0550-3213. arXiv:2107.06267 [hep-ph]. [url] [bib]
  17. J. Blümlein, C. Schneider (ed.). Anti-Differentiation and the Calculation of Feynman Amplitudes. Texts & Monographs in Symbolic Computation (A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria), 2021. Springer, ISBN 978-3-030-80218-9. [url] [bib]
  18. J. Blümlein, C. Schneider, M. Saragnese. Hypergeometric Structures in Feynman Integrals. Technical report no. 21-17 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. December 2021. arXiv:2111.15501 [math-ph]. [url] [pdf] [bib]
  19. Carsten Schneider, Mircea Marin, Viorel Negru, Daniela Zaharie (ed.). 23rd International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC 2021). Proceedings of 23rd International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC 2021), 2021. IEEE Computer Society, ISBN-13: 978-1-6654-0650-5. [url] [bib]
  20. J. Ablinger, J. Blümlein, P. Marquard, N. Rana, C. Schneider. Three loop QCD corrections to heavy quark form factors. In: Proc. ACAT 2019, , J. Phys.: Conf. Ser. 1525/012018, pp. 1-10. 2020. ISSN 1742-6596. arXiv:1905.03728 [hep-ph]. [url] [bib]
  21. C. Krattenthaler, C. Schneider. Evaluation of binomial double sums involving absolute values. In: Algorithmic Combinatorics: Enumerative Combinatorics, Special Functions and Computer Algebra, in Honour of Peter Paule on his 60th Birthday, V. Pillwein, C. Schneider (ed.), Texts and Monographs in Symbolic Computuation , pp. 249-295. 2020. Springer, ISBN 978-3-030-44558-4. arXiv:1607.05314 [math.CO]. [url] [pdf] [bib]
  22. C. Schneider. Minimal representations and algebraic relations for single nested products. Programming and Computer Software 46(2), pp. 133-161. 2020. ISSN 1608-3261. arXiv:1911.04837 [cs.SC]. [url] [pdf] [bib]
  23. E.D. Ocansey, C. Schneider. Representation of hypergeometric products of higher nesting depths in difference rings. Technical report no. 20-19 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. 2020. arXiv:2011.08775 [cs.SC]. [url] [pdf] [bib]
  24. J. Blümlein, A. Maier, P. Marquard, G. Schäfer, C. Schneider. From Momentum Expansions to Post-Minkowskian Hamiltonians by Computer Algebra Algorithms. Physics Letters B 801(135157), pp. 1-8. 2020. ISSN 0370-2693. arXiv:1911.04411 [gr-qc]. [url] [bib]
  25. J. Blümlein, P. Marquard, N. Rana, C. Schneider. Heavy quark form factors at three loops. In: 14th International Symposium on Radiative Corrections (RADCOR2019), D. Kosower, M. Cacciari (ed.)POS(RADCOR2019)013, pp. 1-7. 2020. ISSN 1824-8039. [url] [bib]
  26. Johannes Blümlein, Peter Marquard, Carsten Schneider. A refined machinery to calculate large moments from coupled systems of linear differential equations. In: 14th International Symposium on Radiative Corrections (RADCOR2019), D. Kosower, M. Cacciari (ed.), POS(RADCOR2019)078 , pp. 1-13. 2020. ISSN 1824-8039. arXiv:1912.04390 [cs.SC]. [url] [bib]
  27. A. Behring, J. Blümlein, A. De Freitas, A. Goedicke, S. Klein, A. van Manteuffel, C. Schneider, K. Schönwald. The Polarized Three-Loop Anomalous Dimensions from a Massive Calculation. In: 14th International Symposium on Radiative Corrections (RADCOR2019), D. Kosower, M. Cacciari (ed.), POS(RADCOR2019)047 arXiv:1911.06189 [hep-ph], pp. 1-10. 2020. ISSN 1824-8039. [url] [bib]
  28. J. Ablinger, J. Blümlein, A. De Freitas, M. Saragnese, C. Schneider, K. Schönwald. The three-loop polarized pure singlet operator matrix element with two different masses. Nuclear Physics B 952(114916), pp. 1-18. 2020. ISSN 0550-3213. arXiv:1911.11630 [hep-ph]. [url] [bib]
  29. V. Pillwein, C. Schneider (ed.). Algorithmic Combinatorics: Enumerative Combinatorics, Special Functions and Computer Algebra, in Honour of Peter Paule on his 60th Birthday. Texts and Monographs in Symbolic Computuation, 2020. Springer, ISBN 978-3-030-44558-4. [url] [bib]
  30. J. Ablinger, A. Behring, J. Blümlein, A. De Freitas, A. von Manteuffel, C. Schneider, K. Schönwald. The three-loop single mass polarized pure singlet operator matrix element. Nuclear Physics B 953(114945), pp. 1-25. 2020. ISSN 0550-3213. arXiv:1912.02536 [hep-ph]. [url] [bib]
  31. J. Ablinger, J. Blümlein, A. De Freitas, A. Goedicke, M. Saragnese, C. Schneider, K. Schönwald. The Two-mass Contribution to the Three-Loop Polarized Operator Matrix Element $A_{gg, Q}^{(3)}$ . Nuclear Physics B 955, pp. 1-70. 2020. ISSN 0550-3213. arXiv:2004.08916 [hep-ph]. [url] [bib]
  32. J. Ablinger, J. Blümlein, P. Marquard, N. Rana, C. Schneider. Three loop QCD corrections to heavy quark form factors. In: Proc. ACAT 2019, , J. Phys.: Conf. Ser. 1525/012018, pp. 1-10. 2020. ISSN 1742-6596. arXiv:1905.03728 [hep-ph]. [url] [bib]
  33. J. Ablinger, J. Blümlein, P. Marquard, N. Rana, C. Schneider. Automated Solution of First Order Factorizable Systems of Differential Equations in One Variable. Nucl. Phys. B 939, pp. 253-291. 2019. ISSN 0550-3213. arXiv:1810.12261 [hep-ph]. [url] [bib]
  34. P. Paule, C. Schneider. Towards a symbolic summation theory for unspecified sequences. In: Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory, J. Blümlein, P. Paule, C. Schneider (ed.), Texts and Monographs in Symbolic Computation , pp. 351-390. 2019. Springer, ISBN 978-3-030-04479-4. arXiv:1809.06578 [cs.SC]. [url] [pdf] [bib]
  35. J. Blümlein and P. Paule and C. Schneider (ed.). Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory. Texts & Monographs in Symbolic Computation, 2019. Springer, ISBN 978-3-030-04480-0. [url] [bib]
  36. J. Ablinger, J. Blümlein, M. Round, C. Schneider. Numerical Implementation of Harmonic Polylogarithms to Weight w = 8. Comput. Phys. Comm. 240, pp. 189-201. 2019. ISSN 0010-4655. arXiv:1809.07084 [hep-ph]. [url] [pdf] [bib]
  37. J. Blümlein, P. Marquard, N. Rana, C. Schneider. The Heavy Fermion Contributions to the Massive Three Loop Form Factors. Nuclear Physics B 949(114751), pp. 1-97. 2019. ISSN 0550-3213. arXiv:1908.00357 [hep-ph]. [url] [bib]
  38. A. Behring, J. Blümlein, A. De Freitas, A. Goedicke, S. Klein, A. von Manteuffel, C. Schneider, K. Schönwald. The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements. Nuclear Physics B 948(114753), pp. 1-41. 2019. ISSN 0550-3213. arXiv:1908.03779 [hep-ph]. [url] [bib]
  39. J. Ablinger, J. Blümlein, A. De Freitas, A. Goedicke, C. Schneider, K. Schönwald. The Two-mass Contribution to the Three-Loop Gluonic Operator Matrix Element $A_{gg, Q}^{(3)}$. Nucl. Phys. B 932, pp. 129-240. 2018. ISSN 0550-3213. arXiv:1804.02226 [hep-ph]. [url] [bib]
  40. A. Hoang, C. Schneider (ed.). Proc. RADCOR 2017. Proceedings of RADCOR 2017 - 13th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology) , Proceedings of Science, 290, 2018. ISSN 1824-8039. [url] [bib]
  41. J. Ablinger, A. Behring, J. Blümlein, A. De Freitas, E. Imamoglu, M. van Hoeij A. von Manteuffel, C.G. Raab, C.-S. Radu, C. Schneider. Iterative and Iterative-Noniterative Integral Solutions in 3-Loop Massive QCD Calculations. In: Proc. of the 13th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology), A. Hoang, C. Schneider (ed.)PoS (RADCOR2017) 069, pp. 1-13. 2018. ISSN 1824-8039. arXiv:1711.09742 [hep-ph]. [url] [bib]
  42. J. Middeke, C. Schneider. Denominator Bounds for Systems of Recurrence Equations using ΠΣ-Extensions. In: Advances in Computer Algebra. WWCA 2016., C. Schneider, E. Zima (ed.), Springer Proceedings in Mathematics & Statistics 226, pp. 149-173. 2018. Springer, ISSN 2194-1009. arXiv:1705.00280 [cs.SC]. [url] [pdf] [bib]
  43. E.D. Ocansey, C. Schneider. Representing (q-)hypergeometric products and mixed versions in difference rings. In: Advances in Computer Algebra. WWCA 2016., C. Schneider, E. Zima (ed.), Springer Proceedings in Mathematics & Statistics 226, pp. 175-213. 2018. Springer, ISSN 2194-1009. arXiv:1705.01368 [cs.SC]. [url] [pdf] [bib]
  44. J. Blümlein, A. De Freitas, M. van Hoeij, E. Imamoglu, P. Marquard, C. Schneider. The ρ parameter at three loops and elliptic integrals. In: Proceedings of "Loops and Legs in Quantum Field Theory - LL 2018", 29 April - 4 May 2018, J. Blümlein, P. Marquard (ed.), PoS(LL2018)017 , pp. 1-14. 2018. ISSN 1824-8039. arXiv:1807.05287 [hep-ph]. [url] [bib]
  45. J. Ablinger, J. Blümlein, A. De Freitas, M. van Hoeij, E. Imamoglu, C.G. Raab, C.-S. Radu, C. Schneider. Iterated Elliptic and Hypergeometric Integrals for Feynman Diagrams. J. Math. Phys. 59(062305), pp. 1-55. 2018. ISSN 0022-2488. arXiv:1706.01299 [hep-th]. [url] [pdf] [bib]
  46. J. Blümlein, M. Round, C. Schneider. Refined Holonomic Summation Algorithms in Particle Physics. In: Advances in Computer Algebra. WWCA 2016., E. Zima, C. Schneider (ed.), Springer Proceedings in Mathematics & Statistics 226, pp. 51-91. 2018. Springer, ISSN 2194-1009. arXiv:1706.03677 [cs.SC]. [url] [pdf] [bib]
  47. J. Ablinger, J. Blümlein, A. De Freitas, C. Schneider, K. Schönwald. The two-mass contribution to the three-loop pure singlet operator matrix element. Nucl. Phys. B(927), pp. 339-367. 2018. ISSN 0550-3213. arXiv:1711.06717 [hep-ph]. [url] [bib]
  48. C. Schneider, E. Zima (ed.). Advances in Computer Algebra. WWCA 2016. Springer Proceedings in Mathematics & Statistics, 226, 2018. Springer, ISSN 2194-1009. [url] [bib]
  49. J. Ablinger, A. Behring, J. Blümlein, A. De Freitas, A. von Manteuffel, C. Schneider. Heavy Flavor Wilson Coefficients in Deep-Inelastic Scattering: Recent Results. In: Proceedings of QCDEV2017, L. Gamberg, A. Prokudin, J.W. Qiu and A. Radyushkin (ed.)PoS(QCDEV2017)031 , pp. 1-10. 2018. ISSN 1824-8039. arXiv:1711.07957 [hep-ph]. [url] [bib]
  50. J. Ablinger, C. Schneider. Algebraic independence of sequences generated by (cyclotomic) harmonic sums. Annals of Combinatorics 22(2), pp. 213-244. 2018. ISSN: 0218-0006. arXiv:1510.03692 [cs.SC]. [url] [pdf] [bib]
  51. J. Ablinger, J. Blümlein, A. De Freitas, A. Goedicke, C. Schneider, K. Schönwald, F. Wißbrock. The massive 3-loop operator matrix elements with two masses and the generalized variable flavor number scheme. In: Proc. of the 13th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology), A. Hoang, C. Schneider (ed.)PoS (RADCOR2017) 071, pp. 1-20. 2018. ISSN 1824-8039. arXiv:1712.00745 [hep-ph]. [url] [bib]
  52. Jakob Ablinger, Johannes Blümlein, Mark Round, Carsten Schneider. Special functions, transcendentals and their numerics. In: Proc. of the 13th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology), A. Hoang, C. Schneider (ed.)PoS (RADCOR2017) 010, pp. 1-7. 2018. ISSN 1824-8039. arXiv:1712.08541 [hep-th]. [url] [bib]
  53. J. Ablinger, A. Behring, J. Bluemlein, G. Falcioni, A. De Freitas, P. Marquard, N. Rana, C. Schneider. The Heavy Quark Form Factors at Two Loops. Physical Review D 97(094022), pp. 1-44. 2018. ISSN 1550-2368. arXiv:1712.09889 [hep-ph]. [url] [bib]
  54. J. Blümlein, A. De Freitas, C. Schneider, K. Schönwald. The Variable Flavor Number Scheme at Next-to-Leading Order. Physics Letters B 782, pp. 362-366. 2018. ISSN: 0370-2693. arXiv:1804.03129 [hep-ph]. [url] [bib]
  55. J. Ablinger, J. Blümlein, P. Marquard, N. Rana, C. Schneider. Heavy Quark Form Factors at Three Loops in the Planar Limit. Physics Letters B 782, pp. 528-532. 2018. ISSN: 0370-2693. arXiv:1804.07313 [hep-ph]. [url] [bib]
  56. J. Blümlein, C. Schneider. Analytic Computing Methods for Precision Calculations in Quantum Field Theory. INTERNATIONAL JOURNAL OF MODERN PHYSICS A (IJMPA) 33(1830015), pp. 1-35. 2018. ISSN: 1793-656X. arXiv:1809.02889 [hep-ph]. [url] [bib]
  57. J. Ablinger, J. Blümlein, A. De Freitas, A. Goedicke, C. Schneider, K. Schönwald. Two-mass three-loop effects in deep-inelastic scattering. In: Proceedings of "Loops and Legs in Quantum Field Theory - LL 2018, J. Blümlein, P. Marquard (ed.), PoS(LL2018)051 , pp. 1-8. 2018. ISSN 1824-8039. arXiv:1807.07855 [hep-ph]. [url] [bib]
  58. Jakob Ablinger, Johannes Bluemlein, Peter Marquard, Narayan Rana, Carsten Schneider. Massive three loop form factors in the planar limit. In: Proceedings of "Loops and Legs in Quantum Field Theory - LL 2018, J. Blümlein, P. Marquard (ed.), PoS(LL2018)009 , pp. 1-10. 2018. ISSN 1824-8039. ISSN 1824-8039. [url] [bib]
  59. J. Blümlein, C. Schneider. Computer algebra tools for Feynman integrals and related multi-sums. In: Proceedings of Loops and Legs in Quantum Field Theory - LL 2018, J. Blümlein, P. Marquard (ed.), PoS(LL2018)052 , pp. 1-17. 2018. ISSN 1824-8039. arXiv:1809.06168 [cs.SC]. [url] [bib]
  60. Johannes Middeke, Carsten Schneider. Towards a Direct Method for Finding Hypergeometric Solutions of Linear First Order Recurrence Systems. 2018. Extended abstract appeared in ACM Communications Vol. 52, No. 3, Issue 205, September 2018. Poster presentation at ISSAC 2018. [pdf] [bib]
  61. Johannes Middeke, Carsten Schneider. Towards a Direct Method for Finding Hypergeometric Solutions of Linear First Order Recurrence Systems. ACM Communications 52(3), pp. 185-187. September 2018. 0000. Extended abstract of the poster presentation at 43st International Symposium on Symbolic and Algebraic Computation (ISSAC'18). [url] [pdf] [bib]
  62. Johannes Middeke, Carsten Schneider. Towards a Direct Method for Finding Hypergeometric Solutions of Linear First Order Recurrence Systems. ACM Communications 52(3), pp. 185-187. September 2018. 0000. Extended abstract of the poster presentation at 43st International Symposium on Symbolic and Algebraic Computation (ISSAC'18). [url] [pdf] [bib]
  63. C. Schneider. Summation Theory II: Characterizations of $RPiSigma$-extensions and algorithmic aspects. J. Symb. Comput. 80(3), pp. 616-664. 2017. ISSN 0747-7171. arXiv:1603.04285 [cs.SC]. [url] [pdf] [bib]
  64. C. Schneider, R. Sulzgruber. Asymptotic and exact results on the complexity of the Novelli-Pak-Stoyanovskii algorithm. Electron. J. Combin. 24(2), pp. 1-33. 2017. ISSN: 1077-8926. #P2.28, arXiv:1606.07597. [url] [bib]
  65. J. Blümlein, C. Schneider. The Method of Arbitrarily Large Moments to Calculate Single Scale Processes in Quantum Field Theory. Physics Letters B 771, pp. 31-36. 2017. ISSN 0370-2693. arXiv:1701.04614 [hep-ph]. [url] [bib]
  66. J. Ablinger, A. Behring, J. Blümlein, A. De Freitas, A. von Manteuffel, C. Schneider. The Three-Loop Splitting Functions $P_{qg}^{(2)}$ and $P_{gg}^{(2, \rm N_F)}$. Nucl. Phys. B. 922, pp. 1-40. 2017. ISSN 0550-3213.. arXiv:1705.01508 [hep-ph]. [url] [bib]
  67. J. Ablinger, J. Blümlein, A. De Freitas, A. Hasselhuhn, C. Schneider, F. Wißbrock. Three Loop Massive Operator Matrix Elements and Asymptotic Wilson Coefficients with Two Different Masses. Nucl. Phys. B. 921, pp. 585-688. 2017. ISSN 0550-3213. arXiv:1705.07030 [hep-ph]. [url] [bib]
  68. J. Blümlein, A. De Freitas, C. Schneider, K. Schönwald. The Three Loop Two-Mass Contribution to the Gluon Vacuum Polarization. Cornell University. Technical report no. arXiv:1710.04500 [hep-ph], 2017. [url] [bib]
  69. J. Ablinger, A. Behring, J. Blümlein, G. Falcioni, A. De Freitas, P. Marquard, N. Rana, C. Schneider. Heavy quark form factors at two loops in perturbative QCD. ACTA PHYSICA POLONICA B 48(12), pp. 2155-2166. 2017. ISSN 0587-4254. Presented at the XLI International Conference of Theoretical Physics “Matter to the Deepest”, Podlesice, Poland, September 3–8, 2017, arXiv:1711.04880 [hep-ph]. [url] [bib]
  70. C. Schneider. A Difference Ring Theory for Symbolic Summation. J. Symb. Comput. 72, pp. 82-127. 2016. ISSN 0747-7171. arXiv:1408.2776 [cs.SC]. [url] [bib]
  71. J. Ablinger, A. Behring, J. Blümlein, A. De Freitas, A. von Manteuffel, C. Schneider. Calculating Three Loop Ladder and V-Topologies for Massive Operator Matrix Elements by Computer Algebra. Comput. Phys. Comm. 202, pp. 33-112. 2016. ISSN 0010-4655. arXiv:1509.08324 [hep-ph]. [url] [pdf] [bib]
  72. J. Ablinger, J. Behring, J. Blümlein, G. Falcioni, A. De Freitas, A. Hasselhuhn, A. von Manteuffel, M. Round, C. Schneider, F. Wissbrock. New Results on Massive 3-Loop Wilson Coefficients in Deep-Inelastic Scattering. In: Proc. Loops and Legs in Quantum Field Theory - LL 2016, J. Bluemlein and P. Marquard and T. Riemann (ed.), Proc. of Sciences PoS (LL2016) 065, pp. 1-16. 2016. ISSN 1824-8039. arXiv:1609.03397 [hep-ph]. [url] [bib]
  73. J. Ablinger, A. Behring, J. Blümlein, A. De Freitas, A. Hasselhuhn, A. von Manteuffel, C.G. Raab, M. Round, C. Schneider, F. Wißbrock. 3-Loop Corrections to the Heavy Flavor Wilson Coefficients in Deep-Inelastic Scattering. In: Proceedings of the European Physical Society Conference on High Energy Physics (EPS-HEP), PoS(EPS-HEP2015)504, pp. 1-13. 2016. ISSN 1824-8039. arXiv:1602.00583 [hep-ph]. [url] [bib]
  74. C. Schneider. Symbolic Summation in Difference Rings and Applications. In: Proc. ISSAC 2016, M. Rosenkranz (ed.), pp. 9-12. 2016. ISBN 978-1-4503-4380-0/16/07. [url] [pdf] [bib]
  75. Evans Doe Ocansey, Carsten Schneider. Representation of hypergeometric products in difference rings. 2016. Poster presentation at 41st International Symposium on Symbolic and Algebraic Computation (ISSAC’16). [url] [pdf] [bib]
  76. E.D. Ocansey, C. Schneider. Representation of hypergeometric products in difference rings. ACM Communications in Computer Algebra 50(4), pp. 161-163. 2016. ISSN 1932-2240 . Extended abstract of the poster presentation at ISSAC 2016. [url] [pdf] [bib]
  77. J. Middeke, C. Schneider. Denominator Bounds for Higher Order Systems of Linear Recurrence Equations. 2016. Poster presentation at ISSAC 2016. [url] [pdf] [pdf] [bib]
  78. J. Ablinger, A. Behring, J. Bluemlein, A. de Freitas, C. Schneider. Algorithms to solve coupled systems of differential equations in terms of power series. In: Proc. Loops and Legs in Quantum Field Theory - LL 2016, J. Bluemlein, P. Marquard, T. Riemann (ed.) (ed.)PoS(LL2016)005, pp. 1-15. 2016. ISSN 1824-8039. arXiv:1608.05376 [cs.SC]. [url] [bib]
  79. A. Behring, J. Blümlein, G. Falcioni, A. De Freitas, A. von Manteuffel, C. Schneider. The Asymptotic 3-Loop Heavy Flavor Corrections to the Charged Current Structure Functions $F_L^{W^+-W^-}(x, Q^2)$ and $F_2^{W^+-W^-}(x, Q^2)$. Physical Review D 94(11), pp. 1-19. 2016. ISSN 1550-2368. arXiv:1609.06255 [hep-ph]. [url] [pdf] [bib]
  80. Jakob Ablinger, Arnd Behring, Johannes Blümlein, Abilio De Freitas, Alexander Hasselhuhn, Andreas von Manteuffel, Mark Round, Carsten Schneider, Fabian Wißbrock. Heavy flavour corrections to polarised and unpolarised deep-inelastic scattering at 3-loop order. In: Proceedings of the QCD Evolution 2016, PoS(QCDEV2016)052, pp. 1-16. 2016. National Institute for Subatomic Physics (Nikhef) in Amsterdam, ISSN 1824-8039. arXiv:1611.01104 [hep-ph]. [url] [bib]
  81. Jakob Ablinger, Johannes Bluemlein, Abilio de Freitas, Carsten Schneider. A toolbox to solve coupled systems of differential and difference equations. In: Proc. of the 13th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology), Nigel Glover, Daniel Maitre, Ben Pecjak (ed.)PoS(RADCOR2015)060, pp. 1-13. 2016. ISSN 1824-8039. arXiv:1601.01856 [cs.SC]. [url] [bib]
  82. J. Middeke, C. Schneider. Denominator Bounds for Higher Order Systems of Linear Recurrence Equations. ACM Communications in Computer Algebra 50(4), pp. 185-187. 2016. ISSN 1932-2240. Extended abstract of the poster presentation at ISSAC 2016. [url] [pdf] [pdf] [bib]
  83. C. Schneider. Fast Algorithms for Refined Parameterized Telescoping in Difference Fields. In: Computer Algebra and Polynomials, Applications of Algebra and Number Theory, Jaime Gutierrez, Josef Schicho, Martin Weimann (ed.), Lecture Notes in Computer Science (LNCS) 8942, pp. 157-191. 2015. Springer, ISSN: 0302-9743 . arXiv:1307.7887 [cs.SC]. [url] [pdf] [bib]
  84. J. Ablinger, J. Blümlein, A. De Freitas, A. Hasselhuhn, A. von Manteuffel, M. Round, C. Schneider. 3-loop Massive $O(T_F^2)$ Contributions to the DIS Operator Matrix Element $A_{gg}$. In: 17th International Conference in Quantum Chromodynamics (QCD 14), Stephan Narison (ed.), Proceedings of QCD Montpellier Conference, Nucl. Phys. B (Proc. Suppl.) 258-259, pp. 37-40. 2015. ISSN 0550-3213. arXiv:1409.1435 [hep-ph]. [url] [pdf] [bib]
  85. J. Ablinger, A. Behring, J. Blümlein, A. De Freitas, A. von Manteuffel, C. Schneider. The 3-Loop Pure Singlet Heavy Flavor Contributions to the Structure Function $F_2(x, Q^2)$ and the Anomalous Dimension. Nuclear Physics B 890, pp. 48-151. 2015. ISSN 0550-3213. arXiv:1409.1135 [hep-ph]. [url] [bib]
  86. J. Ablinger, A. Behring, J. Blümlein, A. De Freitas, A. Hasselhuhn, A. von Manteuffel, C. Raab, M. Round, S. Schneider, F. Wißbrock. 3-loop heavy flavor Wilson coefficients in deep-inelastic scattering. In: 17th International Conference in Quantum Chromodynamics (QCD 14), Stephan Narison (ed.), Nucl. Phys. B (Proc. Suppl.) 258-259, pp. 41-44. 2015. ISSN 0550-3213. arXiv:1409.1804 [hep-ph]. [url] [pdf] [bib]
  87. J. Blümlein, A. De Freitas, C. Schneider. Higher Order Heavy Quark Corrections to Deep-Inelastic Scattering. In: Advances in Computational Particle Physics, J. Blümlein, K. Jansen, M. Krämer, J.H. Kühn (ed.), Proceedings of Final Meeting of DFG SFB-TR-9, Nucl. Phys. B (Proc. Suppl.) , pp. 185-201. 2015. ISSN 0550-3213. arXiv:1411.5669 [hep-ph]. [url] [pdf] [bib]
  88. A. Behring, J. Blümlein, A. De Freitas, A. von Manteuffel, C. Schneider. The 3-Loop Non-Singlet Heavy Flavor Contributions to the Structure Function g_1(x, Q^2) at Large Momentum Transfer. Nucl. Phys. B 897, pp. 612-644. 2015. ISSN 0550-3213.. arXiv:1504.08217 [hep-ph]. [url] [bib]
  89. A. Behring, J. Blümlein, A. De Freitas, A. Hasselhuhn, A. von Manteuffel, C. Schneider. The O(alpha_s^3) Heavy Flavor Contributions to the Charged Current Structure Function xF_3(x, Q^2) at Large Momentum Transfer. Physical Review D 92(114005), pp. 1-19. 2015. ISSN 1550-2368. arXiv:1508.01449 [hep-ph]. [url] [pdf] [bib]
  90. J. Ablinger, J. Bluemlein, C. Schneider. Generalized Harmonic, Cyclotomic, and Binomial Sums, their Polylogarithms and Special Numbers. In: Proc. ACAT 2013, , J. Phys.: Conf. Ser 523/012060, pp. 1-10. 2014. ISSN 1742-6596. arXiv:1310.5645 [math-ph]. [url] [bib]
  91. A. Behring, J. Bluemlein, A. De Freitas, T. Pfoh, C. Raab, M. Round, J. Ablinger, A. Hasselhuhn, C. Schneider, F. Wissbrock, A. von Manteuffel. New Results on the 3-Loop Heavy Flavor Corrections in Deep-Inelastic Scattering. In: Proc. of RADCOR, , PoS(RADCOR 2013)058 , pp. 1-21. 2014. ISSN 1824-8039. arXiv:1312.0124 [hep-ph]. [url] [bib]
  92. J. Ablinger, J. Bluemlein, A. De Freitas A. Hasselhuhn, A. von Manteuffel, M. Round, C. Schneider, F. Wissbrock. The Transition Matrix Element $A_{gq}(N)$ of the Variable Flavor Number Scheme at $O(\alpha_s^3)$. Nuclear Physics B 882, pp. 263-288. 2014. ISSN: 0550-3213. arXiv:1402.0359 [hep-ph]. [url] [bib]
  93. J. Ablinger, J. Blümlein, C. Raab, C. Schneider, F. Wissbrock. Calculating Massive 3-loop Graphs for Operator Matrix Elements by the Method of Hyperlogarithms. Nuclear Physics B 885, pp. 409-447. 2014. ISSN: 0550-3213. arXiv:1403.1137 [hep-ph]. [url] [bib]
  94. J. Ablinger, J. Bluemlein, A. De Freitas, A. Hasselhuhn, A. von Manteuffel, M. Round, C. Schneider. The $O(alpha_s^3 T_F^2)$ Contributions to the Gluonic Operator Matrix Element. Nuclear Physics B 885, pp. 280-317. 2014. ISSN: 0550-3213. arXiv:1405.4259 [hep-ph]. [url] [bib]
  95. J. Ablinger, A. Behring, J. Bluemlein, A. De Freitas, A. Hasselhuhn, A. von Manteuffel, M. Round, C. Schneider, F. Wissbrock. The 3-Loop Non-Singlet Heavy Flavor Contributions and Anomalous Dimensions for thE Structure Function $F_2(x, Q^2)$ and Transversity. Nuclear Physics B 886, pp. 733-823. 2014. ISSN: 0550-3213. arXiv:1406.4654 [hep-ph]. [url] [bib]
  96. J. Ablinger, J. Blümlein, C.G. Raab, C. Schneider. Iterated Binomial Sums and their Associated Iterated Integrals. J. Math. Phys. 55(112301), pp. 1-57. 2014. ISSN 0022-2488. arXiv:1407.1822 [hep-th]. [url] [bib]
  97. A. De Freitas, J. Blümlein, C. Schneider. Recent Symbolic Summation Methods to Solve Coupled Systems of Differential and Difference Equations. In: Loops and Legs in Quantum Field Theory - LL 2014, J. Bluemlein, P. Marquard, T. Riemann (ed.), PoS(LL2014)017 , pp. 1-13. 2014. ISSN 1824-8039. arXiv:1407.2537 [cs.SC]. [url] [bib]
  98. J. Ablinger, J. Blümlein, A. De Freitas, A. Hasselhuhn, A. von Manteuffel, M. Round, C. Schneider, F. Wißbrock. 3-Loop Heavy Flavor Corrections in Deep-Inelastic Scattering with Two Heavy Quark Lines. In: Proceedings of Loops and Legs in Quantum Field Theory - LL 2014, J. Bluemlein, P. Marquard, T. Riemann (ed.), PoS(LL2014)015 , pp. 1-10. 2014. ISSN 1824-8039. arXiv:1407.2821 [hep-ph]. [url] [bib]
  99. J. Ablinger, J. Blümlein, C G. Raab, C. Schneider. Nested (inverse) binomial sums and new iterated integrals for massive Feynman diagrams. In: Loops and Legs in Quantum Field Theory - LL 2014, J. Bluemlein, P. Marquard, T. Riemann (ed.), PoS(LL2014)020 , pp. 1-13. 2014. ISSN 1824-8039. arXiv:1407.4721 [hep-th]. [url] [bib]
100. J. Ablinger, A. Behring, J. Blümlein, A. De Freitas, A. Hasselhuhn, A. von Manteuffel, C. Raab, M. Round, C. Schneider, F. Wißbrock. Recent progress on the calculation of three-loop heavy flavor Wilson coefficients in deep-inelastic scattering. In: Loops and Legs in Quantum Field Theory - LL 2014, J. Bluemlein, P. Marquard, T. Riemann (ed.), PoS(LL2014)041 , pp. 1-11. 2014. ISSN 1824-8039. arXiv:1407.3638 [hep-ph]. [url] [bib]
101. J. Blümlein, I. Dubovyk, J. Gluza, M. Ochman, C.G. Raab, T. Riemann, C. Schneider. Non-planar Feynman integrals, Mellin-Barnes representations, multiple sums. In: Loops and Legs in Quantum Field Theory - LL 2014, J. Bluemlein, P. Marquard, T. Riemann (ed.), PoS(LL2014)52 , pp. 1-14. 2014. ISSN 1824-8039. arXiv:1407.7832 [hep-ph]. [url] [bib]
102. C. Schneider. A streamlined difference ring theory: Indefinite nested sums, the alternating sign and the parameterized telescoping problem. In: Symbolic and Numeric Algorithms for Scientific Computing (SYNASC), 2014 15th International Symposium, Franz Winkler, Viorel Negru, Tetsuo Ida, Tudor Jebelean, Dana Petcu, Stephen Watt, Daniela Zaharie (ed.), pp. 26-33. 2014. IEEE Computer Society, ISBN-13:978-1-4799-8448-0. arXiv:1412.2782v1 [cs.SC]. [url] [pdf] [bib]
103. C. Schneider. Modern Summation Methods for Loop Integrals in Quantum Field Theory: The Packages {S}igma, {EvaluateMultiSums} and {SumProduction}. In: Proc. ACAT 2013, - (ed.), J. Phys.: Conf. Ser. 523, pp. 1-17. 2014. ISSN 1742-6596. arXiv:1310.0160 [cs.SC]. [url] [bib]
104. J. Bluemlein, A. Hasselhuhn, S. Klein, C. Schneider. The $O(α_s^3 n_f T_F^2 C_{A, F})$} Contributions to the Gluonic Massive Operator Matrix Elements. Nuclear Physics B(866), pp. 196-211. 2013. ISSN: 0550-3213. arXiv:1205.4184 [hep-ph]. [url] [pdf] [bib]
105. J. Ablinger, J. Bluemlein, A. De Freitas, A. Hasselhuhn, S. Klein, C. Schneider, F. Wissbrock. New Results on the 3-Loop Heavy Flavor Wilson Coefficients in Deep-Inelastic Scattering. In: Proceedings of the 36th International Conference on High Energy Physics, PoS(ICHEP2012)270, pp. 1-9. 2013. ISSN 1824-8039. arXiv:1212.5950 [hep-ph]. [url] [bib]
106. J. Ablinger, J. Bluemlein, C. Schneider. Analytic and Algorithmic Aspects of Generalized Harmonic Sums and Polylogarithms. J. Math. Phys. 54(082301), pp. 1-74. 2013. ISSN 0022-2488. arXiv:1302.0378 [math-ph]. [url] [pdf] [bib]
107. C. Schneider. Simplifying Multiple Sums in Difference Fields. In: Computer Algebra in Quantum Field Theory: Integration, Summation and Special Functions, C. Schneider, J. Bluemlein (ed.), Texts and Monographs in Symbolic Computation , pp. 325-360. 2013. Springer, ISBN-13: 978-3709116159. arXiv:1304.4134 [cs.SC]. [url] [pdf] [bib]
108. J. Bluemlein, T. Riemann, C. Schneider. Precision Calculations, Algebraic Summation and Integration - Towards the Mathematical Structure of the Microcosm. In: Annual report 2012 of the particle and astroparticle physics division at DESY, - (ed.), pp. 90-91. 2013. Deutsches Elektronen Synchrotron (DESY), -. [url] [bib]
109. S. Gerhold, M. Kauers, C. Koutschan, P. Paule, C. Schneider, B. Zimmermann. Computer-Assisted Proofs of Some Identities for Bessel Functions of Fractional Order. In: Computer Algebra in Quantum Field Theory: Integration, Summation and Special Functions, C. Schneider, J. Bluemlein (ed.), Texts and Monographs in Symbolic Computation , pp. 75-96. 2013. Springer, ISBN-13: 978-3709116159. arXiv:1305.4818 [cs.SC]. [url] [pdf] [bib]
110. J. Ablinger, J. Bluemlein, A. De Freitas, A. Hasselhuhn, A. von Manteuffel, C. Raab, M. Round, C. Schneider, F. Wissbrock. Recent Results on the 3-Loop Heavy Flavor Wilson Coefficients in Deep-Inelastic Scattering. In: XXI International Workshop on Deep-Inelastic Scattering and Related Subjects - DIS2013, PoS(DIS 2013)301, pp. 1-8. 2013. ISSN 1824-8039. arXiv:1307.7548 [hep-ph]. [url] [bib]
111. C. Schneider. Symbolic Summation in Difference Fields and Its Application in Particle Physics. Computer Algebra Rundbrief 53, pp. 8-12. 2013. ISSN 0933-5994. [url] [bib]
112. J. Bluemlein, C. Schneider (ed.). Computer Algebra in Quantum Field Theory: Integration, Summation and Special Functions. Texts and Monographs in Symbolic Computation, 2013. Springer Wien, ISBN-13: 978-3709116159. [url] [bib]
113. J. Bluemlein, S. Klein, C. Schneider, F. Stan. A Symbolic Summation Approach to Feynman Integral Calculus. J. Symbolic Comput. 47, pp. 1267-1289. 2012. ISSN 0747-7171. arXiv:1011.2656 [cs.SC]. [url] [pdf] [bib]
114. J. Ablinger, J. Bluemlein, A. Hasselhuhn, S. Klein, C. Schneider, F. Wissbrock. New Heavy Flavor Contributions to the DIS Structure Function $F_2(x, Q^2)$ at $O(\alpha_s^3)$. In: Proceedings of RADCOR 2011, , Proceedings of 10th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology) PoS(RADCOR2011)31, pp. 1-8. 2012. ISSN 1824-8039. arXiv:1202.2700 [hep-ph]. [url] [bib]
115. J. Bluemlein, A. Hasselhuhn, C. Schneider. Evaluation of Multi-Sums for Large Scale Problems. In: Proceedings of RADCOR 2011, , Proceedings of 10th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology)PoS(RADCOR2011)32, pp. 1-9. 2012. ISSN 1824-8039. arXiv:1202.4303 [math-ph]. [url] [bib]
116. J. Ablinger, J. Bluemlein, A. Hasselhuhn, S. Klein, C. Schneider, F. Wissbrock. Massive 3-loop Ladder Diagrams for Quarkonic Local Operator Matrix Elements. Nuclear Physics B 864, pp. 52-84. 2012. ISSN: 0550-3213. arXiv:1206.2252v1 [hep-ph]. [url] [pdf] [bib]
117. J. Ablinger, J. Bluemlein, M. Round, C. Schneider. Advanced Computer Algebra Algorithms for the Expansion of Feynman Integrals. In: Loops and Legs in Quantum Field Theory 2012, J. Bluemlein, S. Moch, T. Riemann (ed.), PoS(LL2012) 50, pp. 1-14. 2012. ISSN 1824-8039. arXiv:1210.1685 [cs.SC]. [url] [bib]
118. J. Ablinger, J. Bluemlein, A. De Freitas, A. Hasselhuhn, S. Klein, C. Raab, M. Round, C. Schneider, F. Wissbrock. Three-Loop Contributions to the Gluonic Massive Operator Matrix Elements at General Values of N. In: Proc. Loops and Legs in Quantum Field Theory 2012, J. Blümlein, S. Moch, T. Riemann (ed.), PoS(LL2012)033 , pp. 1-12. 2012. ISSN 1824-8039. arXiv:1212.6823 [hep-ph]. [url] [bib]
119. J. Ablinger, J. Bluemlein, S. Klein, C. Schneider, F. Wissbrock. The O(\alpha_s^3) Massive Operator Matrix Elements of O(n_f) for the Structure Function F_2(x, Q^2) and Transversity. Nucl. Phys. B 844, pp. 26-54. 2011. ISSN: 0550-3213. arXiv:1008.3347 [hep-ph]. [url] [bib]
120. Manuel Kauers, Carsten Schneider. A Refined Denominator Bounding Algorithm for Multivariate Linear Difference Equations. In: Proceedings of ISSAC 2011, Anton Leykin (ed.), pp. 201-208. 2011. 978-1-4503-0675-1. arXiv:1101.2803 [cs.SC]. [url] [pdf] [bib]
121. H. Prodinger, C. Schneider, S. Wagner. Unfair permutations. Europ. J. Comb. 32, pp. 1282-1298. 2011. ISSN: 0195-6698. [url] [pdf] [bib]
122. J. Ablinger, J. Bluemlein, C. Schneider. Harmonic Sums and Polylogarithms Generated by Cyclotomic Polynomials. J. Math. Phys. 52(10), pp. 1-52. 2011. ISSN 0022-2488 . arXiv:1105.6063 [math-ph]. [url] [pdf] [bib]
123. J. Ablinger, J. Bluemlein, S. Klein, C. Schneider, F. Wissbrock. 3-Loop Heavy Flavor Corrections to DIS with two Massive Fermion Lines. In: 19th International Workshop On Deep-Inelastic Scattering And Related Subjects (DIS 2011), , pp. -. 2011. American Institute of Physics (AIP), [url] [bib]
124. C. Schneider. Parameterized Telescoping Proves Algebraic Independence of Sums. Ann. Comb. 14(4), pp. 533-552. 2010. ISSN 0218-0006. arXiv:0808.2596. [url] [pdf] [bib]
125. C. Schneider. A Symbolic Summation Approach to Find Optimal Nested Sum Representations. In: Motives, Quantum Field Theory, and Pseudodifferential Operators, A. Carey, D. Ellwood, S. Paycha, S. Rosenberg (ed.), Clay Mathematics Proceedings 12, pp. 285-308. 2010. Amer. Math. Soc, ISBN-10: 0-8218-5199-3. arXiv:0904.2323 . [url] [pdf] [bib]
126. C. Schneider. Structural Theorems for Symbolic Summation. Appl. Algebra Engrg. Comm. Comput. 21(1), pp. 1-32. 2010. ISSN 0938-1279. [url] [pdf] [bib]
127. Manuel Kauers, Carsten Schneider. Partial Denominator Bounds for Partial Linear Difference Equations. In: Proceedings of ISSAC'10, Stephen Watt (ed.), pp. 211-218. 2010. 978-1-4503-0150-3. arXiv:1005.0602 [cs.SC]. [url] [ps] [pdf] [bib]
128. J. Ablinger, J. Bluemlein, S. Klein, C. Schneider. Modern Summation Methods and the Computation of 2- and 3-loop Feynman Diagrams . Nucl. Phys. B (Proc. Suppl.), Loops and Legs in Quantum Field Theory - Proceedings of the 10th DESY Workshop on Elementary Particle Theory 205-206, pp. 110-115. 2010. ISSN 0550-3213. arXiv:1006.4797 [math-ph]. [url] [pdf] [bib]
129. J. Ablinger, I. Bierenbaum, J. Bluemlein, A. Hasselhuhn, S. Klein, C. Schneider, F. Wissbrock. Heavy Flavor DIS Wilson coefficients in the asymptotic regime . Nucl. Phys. B (Proc. Suppl.), Loops and Legs in Quantum Field Theory - Proceedings of the 10th DESY Workshop on Elementary Particle Theory 205-206, pp. 242-249. 2010. ISSN 0550-3213. arXiv::1007.0375 [hep-ph]. [url] [pdf] [bib]
130. J. Bluemlein, S. Klein, C. Schneider, F. Stan. A symbolic summation approach to Feynman integrals. 2010. Appeared in ACM SIGSAM Bulletin Volume 44 Issue 3/4, September/December 2010. Poster presentation at Issac 2010. [url] [pdf] [bib]
131. I. Bierenbaum, J. Bl´┐Żmlein, S. Klein, C. Schneider. Difference equations in massive higher order calculations. In: Proc. ACAT 2007, - (ed.)PoS(ACAT)082, pp. 1-15. 2009. ISSN 18248039. arXiv:0707.4659 [math-ph]. [url] [pdf] [bib]
132. S. Moch, C. Schneider. Feynman integrals and difference equations. In: Proc. ACAT 2007, - (ed.)PoS(ACAT)083, pp. 1-11. 2009. ISSN 18248039. [url] [pdf] [bib]
133. C. Schneider, R. Osburn. Gaussian Hypergeometric series and supercongruences. Math. Comp. 78(265), pp. 275-292. 2009. ISSN 0025-5718. arXiv:math/0610281 [math.NT]. [url] [pdf] [bib]
134. J. Bluemlein, M. Kauers, S. Klein, C. Schneider. From moments to functions in higher order QCD . In: XII Advanced Computing and Analysis Techniques in Physics Research, - (ed.)PoS(ACAT08)106, pp. 1-7. 2009. ISSN 1824-8039. arXiv:0902.4095 [hep-ph]. [url] [pdf] [bib]
135. Peter Paule, Bruno Buchberger, Lena Kartashova, Manuel Kauers, Carsten Schneider, Franz Winkler. Algorithms in Symbolic Computation. In: Hagenberg Research, Bruno Buchberger et al. (ed.), Chapter 1, pp. 5-62. 2009. Springer, 978-3-642-02126-8. [url] [pdf] [bib]
136. J. Bluemlein, M. Kauers, S. Klein, C. Schneider. Determining the closed forms of the {$O(a_s^3)$} anomalous dimensions and {W}ilson coefficients from {M}ellin moments by means of computer algebra. Comput. Phys. Comm. 180, pp. 2143-2165. 2009. ISSN 0010-4655. arXiv:0902.4091 [hep-ph]. [url] [pdf] [bib]
137. S. Gerhold, L. Glebsky, C. Schneider, H. Weiss, B. Zimmermann. Computing the complexity for schelling segregation models. Communications in Nonlinear Science and Numerical Simulations 13, pp. 2236-2245. 2008. ISSN 1007-5704. [url] [pdf] [bib]
138. C. Schneider. A Refined Difference Field Theory for Symbolic Summation. J. Symbolic Comput. 43(9), pp. 611-644. 2008. ISSN 0747-7171. arXiv:0808.2543 [cs.SC]. [url] [pdf] [bib]
139. Manuel Kauers , Carsten Schneider. Automated Proofs for Some Stirling Number Identities. The Electronic Journal of Combinatorics 15(1), pp. 1-7. 2008. ISSN 1077-8926. R2. [url] [ps] [pdf] [bib]
140. M. Kuba, H. Prodinger, C. Schneider. Generalized Reciprocity Laws for Sums of Harmonic Numbers. INTEGERS. Electronic Journal of Combinatorial Number Theory 8(A17), pp. 1-20. 2008. ISSN 1553-1732. [url] [pdf] [bib]
141. I. Bierenbaum, J. Bluemlein, S. Klein, C. Schneider. Two-Loop Massive Operator Matrix Elements for Unpolarized Heavy Flavor Production to $O!(epsilon)$. Nucl.Phys. B 803(1-2), pp. 1-41. November 2008. ISSN: 0550-3213. arXiv:0803.0273 [hep-ph]. [url] [pdf] [bib]
142. C. Schneider, R. Pemantle. When is 0.999... equal to 1?. Amer. Math. Monthly 114(4), pp. 344-350. 2007. ISSN 0002-9890. arXiv:math/0511574 [math.CO]. [url] [pdf] [ps] [bib]
143. C. Schneider. Parameterized telescoping proves algebraic independence of sums. In: Proceedings of the 19th international conference on formal power series and algebraic combinatorics, FPSAC'07, , pp. 1-12. 2007. [url] [pdf] [bib]
144. C. Schneider. Simplifying Sums in ${Pi}{Sigma}^*$-Extensions. J. Algebra Appl. 6(3), pp. 415-441. 2007. ISSN: 0219-4988. Preliminary version online. [url] [ps] [pdf] [bib]
145. C. Schneider. Symbolic Summation Assists Combinatorics. Sem. Lothar. Combin. 56, pp. 1-36. 2007. ISSN 1286-4889. Article B56b. [url] [pdf] [ps] [bib]
146. C. Schneider. Apery's Double Sum is Plain Sailing Indeed. Electron. J. Combin. 14(N5), pp. 1-3. 2007. ISSN 1077-8926. [url] [ps] [pdf] [bib]
147. M. Kauers, C. Schneider. Symbolic Summation with Radical Expressions. In: Proceedings of ISSAC'07, Christopher W. Brown (ed.), pp. 219-226. 2007. isbn 978-1-59593-743-8. [url] [pdf] [ps] [bib]
148. P. Paule, C. Schneider. Truncating Binomial Series with Symbolic Summation. INTEGERS. Electronic Journal of Combinatorial Number Theory 7(A22), pp. 1-9. 2007. ISSN 1553-1732. [url] [pdf] [bib]
149. C. Schneider. Parameterized telescoping proves algebraic independence of sums. 2007. Poster presentation at FPSAC 2007. [url] [pdf] [pdf] [bib]
150. C. Schneider. Multi-Summation in Difference Fields. 2007. Habilitation, [bib]
151. K. Driver, H. Prodinger, C. Schneider, A. Weideman. Pad'e Approximations to the logarithm II: Identities, recurrences, and symbolic computation. Ramanujan Journal 11(2), pp. 139-158. April 2006. ISSN 1382-4090. Preliminary version online. [url] [pdf] [ps] [bib]
152. K. Driver, H. Prodinger, C. Schneider, A. Weideman. Pad'e approximations to the logarithm III: Alternative methods and additional results. Ramanujan Journal 12(3), pp. 299-314. 2006. ISSN 1382-4090. Preliminary version online. [url] [ps] [pdf] [ps] [bib]
153. C. Schneider. Some notes on ``When is 0.999... equal to 1?''. In: Mathematics, Algorithms, Proofs, T. Coquand et al. (ed.), Dagstuhl Seminar Proceedings 05021, pp. 1-3. 2006. Internationales Begegnungs- und Forschungszentrum (IBFI), Schloss Dagstuhl, Germany, ISSN 1862-4405. [url] [pdf] [bib]
154. M. Kauers, C. Schneider. Indefinite summation with unspecified summands. Discrete Math. 306(17), pp. 2073-2083. 2006. ISSN 0012-365X. Preliminary version online. [url] [pdf] [bib]
155. M. Kauers, C. Schneider. Application of unspecified sequences in symbolic summation. In: Proceedings of ISSAC'06, Jean-Guillaume Dumas (ed.), Proceedings of ISSAC'06, pp. 177-183. 2006. ACM Press, [url] [ps] [pdf] [bib]
156. A. Becirovic, P. Paule, V. Pillwein, A. Riese, C. Schneider, J. Schoeberl. Hypergeometric Summation Algorithms for High Order Finite Elements. Computing 78(3), pp. 235-249. 2006. ISSN 0010-485X. Preliminary version available. [url] [pdf] [ps] [bib]
157. P. Paule, V. Pillwein, C. Schneider, J. Schöberl. Hypergeometric Summation Techniques for High Order Finite Elements. In: PAMM, , Proceedings of GAMM Annual Meeting 2006 - Berlin6/1, pp. 689-690. 2006. Wiley InterScience, Weinheim, ISBN. [url] [bib]
158. C. Schneider. Product Representations in $PiSigma$-Fields. Annals of Combinatorics 9(1), pp. 75-99. 2005. ISSN 0218-0006. Preliminary version online. [url] [ps] [pdf] [bib]
159. C. Schneider. A new Sigma approach to multi-summation. Advances in Applied Math. Special Issue Dedicated to Dr. David P. Robbins. Edited by D. Bressoud 34(4), pp. 740-767. 2005. ISSN 0196-8858. Preliminary version online. [url] [pdf] [ps] [bib]
160. G. E. Andrews, P. Paule, C. Schneider. Plane Partitions VI: Stembridge's TSPP Theorem. Advances in Applied Math. Special Issue Dedicated to Dr. David P. Robbins. Edited by D. Bressoud 34(4), pp. 709-739. 2005. ISSN 0196-8858. Preliminary version online. [url] [pdf] [ps] [bib]
161. C. Schneider. Degree Bounds To Find Polynomial Solutions of Parameterized Linear Difference Equations in $PiSigma$-Fields. Applicable Algebra in Engineering, Communication and Computing 16(1), pp. 1-32. 2005. ISSN 0938-1279. Preliminary version online. [url] [pdf] [ps] [bib]
162. C. Schneider. Solving Parameterized Linear Difference Equations in Terms of Indefinite Nested Sums and Products. J. Differ. Equations Appl. 11(9), pp. 799-821. 2005. ISSN 1023-6198. Preliminary version online. [url] [pdf] [ps] [bib]
163. C. Schneider. Finding Telescopers with Minimal Depth for Indefinite Nested Sum and Product Expressions (Extended Version). J. Kepler University Linz. Technical report no. 2005-08, 2005. SFB-Report. [ps] [pdf] [bib]
164. C. Schneider. Finding Telescopers with Minimal Depth for Indefinite Nested Sum and Product Expressions. In: Proc. ISSAC'05, M. Kauers (ed.), pp. 285-292. 2005. ACM, ISBN 1-59593-095-705/0007. [url] [ps] [pdf] [bib]
165. C. Schneider. Symbolic Summation with Single-Nested Sum Extensions (Extended Version). J. Kepler University, Linz. Technical report no. 2004-7, 2004. Published in Proc. ISSAC'04. SFB-Report. [ps] [pdf] [bib]
166. C. Schneider. Symbolic Summation with Single-Nested Sum Extensions. In: Proc. ISSAC'04, J. Gutierrez (ed.), pp. 282-289. 2004. ACM Press, ISBN 1-58113-827-X. [url] [ps] [pdf] [bib]
167. C. Schneider. The summation package Sigma: Underlying principles and a rhombus tiling application. Discrete Math. Theor. Comput. Sci. 6(2), pp. 365-386. 2004. ISSN 1365-8050. [url] [ps] [pdf] [bib]
168. G.E. Andrews, P. Paule, C. Schneider. Plane Partition VI: Stembridge's TSPP Theorem -- A detailed algorithmic proof. Technical report no. 04-08 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. May 2004. [pdf] [ps] [bib]
169. C. Schneider. A Collection of Denominator Bounds to Solve Parameterized Linear Difference Equations in ${\Pi}{\Sigma}$-Extensions. An. Univ. Timisoara Ser. Mat.-Inform. 42(2), pp. 163-179. 2004. ISSN 1224-970x. Extended version of Proc. SYNASC'04; preliminary version online. [ps] [pdf] [bib]
170. P. Paule, C. Schneider. Computer proofs of a new family of harmonic number identities. Adv. in Appl. Math. 31(2), pp. 359-378. 2003. ISSN 0196-8858. Preliminary version online. [url] [ps] [pdf] [bib]
171. C. Schneider. How one can play with sums. In: Proceedings of the 8th Rhine Workshop on Computer Algebra, H. Kredel, W. Seiler (ed.), pp. 73-83. 2002. Mannheim, Germany, -. Preliminary version online. [pdf] [ps] [bib]
172. C. Schneider. Symbolic Summation in Difference Fields. RISC, J. Kepler University Linz. PhD Thesis. May 2001. (published as Technical report no. 01-17 in RISC Report Series.). [ps] [pdf] [bib]
173. C. Schneider. An Implementation of {K}arr's Summation Algorithm in Mathematica. Sem. Lothar. Combin. S43b, pp. 1-10. 2000. ISSN 1286-4889. [url] [pdf] [ps] [bib]
174. C. Schneider. Implementierung von Automaten-Algorithmen mit Hilfe von binären Entscheidungsdiagrammen. Lehrstuhl für Künstliche Intelligenz (Informatik VIII), Friedrich Alexander Universität Erlangen-Nürnberg. Diploma Thesis. 1997. (Engl. translation: Implementation of Algorithms for Automatons with Binary Decision Diagrams - BDD). Diploma Thesis. [ps] [pdf] [bib]