English

The package HarmonicSums: Computer Algebra and Analytic aspects of Nested Sums

Symbolic Computation 2014-07-24 v1 High Energy Physics - Phenomenology

Abstract

This paper summarizes the essential functionality of the computer algebra package HarmonicSums. On the one hand HarmonicSums can work with nested sums such as harmonic sums and their generalizations and on the other hand it can treat iterated integrals of the Poincare and Chen-type, such as harmonic polylogarithms and their generalizations. The interplay of these representations and the analytic aspects are illustrated by concrete examples.

Keywords

Cite

@article{arxiv.1407.6180,
  title  = {The package HarmonicSums: Computer Algebra and Analytic aspects of Nested Sums},
  author = {Jakob Ablinger},
  journal= {arXiv preprint arXiv:1407.6180},
  year   = {2014}
}

Comments

10 pages

R2 v1 2026-06-22T05:10:51.066Z