Ralf Hemmecke, Dipl.-Math. Dr.

Publications

	Ralf Hemmecke, Peter Paule, Silviu Radu. Construction of modular function bases for $Gamma_0(121)$ related to $p(11n+6)$. Integral Transforms and Special Functions 32(5-8), pp. 512-527. 2021. Taylor & Francis, 1065-2469. [url] [bib]
	Ralf Hemmecke, Silviu Radu, Liangjie Ye. The Generators of all Polynomial Relations among Jacobi Theta Functions. In: Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory, Johannes Blümlein and Carsten Schneider and Peter Paule (ed.), Texts & Monographs in Symbolic Computation 18-09, pp. 259-268. 2019. Springer International Publishing, Cham, 978-3-030-04479-4. Also available as RISC Report 18-09 http://www.risc.jku.at/publications/download/risc_5719/thetarelations.pdf. [url] [bib]
	Ralf Hemmecke, Silviu Radu. Construction of all Polynomial Relations among Dedekind Eta Functions of Level $N$. Journal of Symbolic Compuation 95, pp. 39-52. 2019. ISSN 0747-7171. Also available as RISC Report 18-03 http://www.risc.jku.at/publications/download/risc_5561/etarelations.pdf. [url] [bib]
	Ralf Hemmecke. Dancing Samba with Ramanujan Partition Congruences. Journal of Symbolic Compuation 84, pp. 14-24. 2018. 0747-7171. Also available as RISC Report 16-06 https://www.risc.jku.at/publications/download/risc_5338/DancingSambaRamanujan.pdf. [url] [bib]
	Joachim Apel, Ralf Hemmecke. Detecting Unnecessary Reductions in an Involutive Basis Computation. Journal of Symbolic Computation 40(4-5), pp. 1131-1149. 2005. ISSN 0747-7171. [url] [bib]
	Erik Hillgarter, Ralf Hemmecke, Günter Landsmann, Franz Winkler. Symbolic Differential Elimination for Symmetry Analysis. Mathematical and Computer Modelling of Dynamical Systems 10(2), pp. 123-147. 2004. ISSN 1387-3954. [url] [pdf] [bib]
	R. Hemmecke, E. Hillgarter, G. Landsmann, F. Winkler. Symbolic Differential Elimination for Symmetry Analysis. In: Proc. 4th IMACS Symposium on Mathematical Modelling, F. Breitenecker, I. Troch (ed.), pp. 790-796. Feb. 2003. Techn. Univ. Vienna, ISBN 3-901608-24-9. [pdf] [bib]
	R. Hemmecke, E. Hillgarter, F. Winkler. CASA. In: Handbook of Computer Algebra: Foundations, Applications, Systems, J. Grabmeier, E. Kaltofen, V. Weispfenning (ed.), pp. 356-359. 2003. Springer-Verlag, ISBN 3-540-65466-6. [pdf] [bib]
	Erik Hillgarter, Ralf Hemmecke, Günter Landsmann, Franz Winkler. Symbolic Differential Elimination Theory for Symmetry Analysis. Technical report no. 03-12 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. October 2003. [ps] [bib]
	Ralf Hemmecke. Involutive Bases for Polynomial Ideals. Technical report no. 03-02 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. May 2003. PhD Thesis. [ps] [bib]
	Ralf Hemmecke. Dynamical Aspects of Involutive Bases Computations. In: Symbolic and Numeric Scientific Computation, Franz Winkler and Ulrich Langer (ed.)2630, pp. 168-182. 2003. Springer Verlag, ISBN 3-540-40554-2. [url] [bib]
	Ralf Hemmecke. Involutive Bases for Polynomial Ideals. Research Institute for Symbolic Computation. PhD Thesis. Johannes Kepler University, Linz, Austria, February 2003. [url] [bib]
	Joachim Apel, Ralf Hemmecke. Detecting Unnecessary Reductions in an Involutive Basis Computation. Technical report no. 02-22 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. October 2002. [ps] [bib]
	Ralf Hemmecke. Continuously Parameterized Symmetries and Buchberger's Algorithm. Journal of Symbolic Computation 33(1), pp. 43-55. January 2002. 0747-7171. [bib]
	Ralf Hemmecke. Dynamical Aspects of Involutive Bases Computations. Technical report no. 01-28 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. December 2001. presented at ACA'2001, Albuquerque, New Mexico, June, 2001. [ps] [bib]
	Ralf Hemmecke, Franz Winkler. CASA User Manual (Version CASA 2.5). Technical report no. 00-30 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. December 2000. RISC Report. [ps] [bib]
	Ralf Hemmecke, Erik Hillgarter, Wolfgang Schreiner, Franz Winkler. An Evaluation of the State of the CASA System. Technical report no. 98-16 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. October 1998. [ps] [bib]