A Refined Difference Field Theory for Symbolic Summation

Details A Refined Difference Field Theory for Symbolic Summation A Refined Difference Field Theory for Symbolic Summation

2008-08-19

arxiv.org/abs/0808.2543v1

J. Symbolic Comput. 43(9), pp. 611-644. 2008

Computer Science

Symbolic Computation

Uses elseart.cls and yjsco.sty

Scientific paper

10.1016/j.jsc.2008.01.001

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.

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