A Refined Difference Field Theory for Symbolic Summation
Symbolic Computation
2008-09-02 v1 Mathematical Physics
Combinatorics
math.MP
Abstract
In this article we present a refined summation theory based on Karr's difference field approach. The resulting algorithms find sum representations with optimal nested depth. For instance, the algorithms have been applied successively to evaluate Feynman integrals from Perturbative Quantum Field Theory.
Keywords
Cite
@article{arxiv.0808.2543,
title = {A Refined Difference Field Theory for Symbolic Summation},
author = {Carsten Schneider},
journal= {arXiv preprint arXiv:0808.2543},
year = {2008}
}
Comments
Uses elseart.cls and yjsco.sty