Copyright © 1999–2019 The RISC Combinatorics Group, Austria — all rights reserved. Commercial use of the software is prohibited without prior written permission.

If loading an encoded file causes a syntax error, open it with a text editor and remove any blank lines at the beginning (for some reason your Mac could have inserted them silently...).

- HarmonicSums.m (encoded)

Thanks to the tremendous effort of Abilio De Freitas all the available commands of

The following precomputed tables are available in order to extend the functionality of the package and are used by the functions

- RelTabCycloH6tow4.m
- RelTabSinfH1.m
- RelTabSinfH1upto8.m
- RelTabCSinf.m
- RelTabCycloH4ToSinf.m
- RelTab.m
- RelTabStat.m
- RelTabDiff.m
- RelTabHalf.m
- RelTabDiffHalf.m

- J. Ablinger. Discovering and Proving Infinite Pochhammer Sum Identities. arXiv:1902.11001 [math.CO].

- J. Ablinger. Proving two conjectural series for ζ(7) and discovering more series for ζ(7). arXiv:1908.06631 [math.CO].

- Computer Algebra Algorithms for Special Functions in Particle Physics (PhD Thesis). RISC, Johannes Kepler University, April 2012. [pdf]
- A Computer Algebra Toolbox for Harmonic Sums Related to Particle Physics (Diploma Thesis). RISC, Johannes Kepler University, February 2009. [pdf]

We ask you to quote the following block of papers using the package HarmonicSums:

- J. Ablinger. A Computer Algebra Toolbox for Harmonic Sums Related to Particle Physics. Johannes Kepler University. Diploma Thesis. February 2009. [arXiv:1011.1176 [math-ph]].
- J. Ablinger. Computer Algebra Algorithms for Special Functions in Particle Physics. Johannes Kepler University. PhD Thesis. April 2012.
- J. Ablinger. Computing the Inverse Mellin Transform of Holonomic Sequences using Kovacic's Algorithm. PoS RADCOR2017, 069, 2017. [arXiv:1801.01039 [cs.SC]].
- J. Ablinger. Inverse Mellin Transform of Holonomic Sequences. Johannes Kepler University. PoS LL 2016, 067, 2016. [arXiv:1606.02845 [cs.SC]].
- J. Ablinger. The package HarmonicSums: Computer Algebra and Analytic aspects of Nested Sums. Loops and Legs in Quantum Field Theory - LL 2014. [arXiv:1407.6180 [cs.SC]].
- J. Ablinger. Discovering and Proving Infinite Pochhammer Sum Identities. [arXiv:1902.11001 [math.CO]].
- J. Ablinger, J. Blümlein and C. Schneider. Analytic and Algorithmic Aspects of Generalized Harmonic Sums and Polylogarithms. [arXiv:1302.0378 [math-ph]].
- J. Ablinger, J. Blümlein and C. Schneider. Harmonic Sums and Polylogarithms Generated by Cyclotomic Polynomials. J. Math. Phys. 52 (2011) 102301. [arXiv:1105.6063 [math-ph]].
- J. Blümlein. Structural Relations of Harmonic Sums and Mellin Transforms up to Weight w = 5. Comput. Phys. Commun. 180 (2009) 2218. [arXiv:0901.3106 [hep-ph]].
- E. Remiddi and J. A. M. Vermaseren. Harmonic polylogarithms. Int. J. Mod. Phys. A 15 (2000) 725. [hep-ph/9905237].
- J. A. M. Vermaseren. Harmonic sums, Mellin transforms and integrals. Int. J. Mod. Phys. A 14 (1999) 2037. [hep-ph/9806280].