- XSummer - Transcendental Functions and Symbolic Summation in Form

Preprint

2 August 2005

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math-ph/0508008

Abstract

Harmonic sums and their generalizations are extremely useful in the evaluation of higher-order perturbative corrections in quantum field theory. Of particular interest have been the so-called nested sums,where the harmonic sums and their generalizations appear as building blocks, originating for example from the expansion of generalized hypergeometric functions around integer values of the parameters. In this Letter we discuss the implementation of several algorithms to solve these sums by algebraic means, using the computer algebra system Form.

Keywords

TRANSCENDENTAL FUNCTIONS
SYMBOLIC SUMMATION
HARMONIC SUMS
FORM HARMONIC
ALGORITHMS
ALGEBRAIC
XSUMMER

All Related Versions

Version 1, 2005-08-02, ArXiv
Published version: Computer Physics Communications, 174 (9), 759.

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