A refined difference field theory for symbolic summation

Authors:
Carsten Schneider
Affiliations:
Research Institute for Symbolic Computation, J. Kepler University Linz, A-4040 Linz, Austria
Venue:
Journal of Symbolic Computation
Year:
2008

Citing 13
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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.