A Refined Difference Field Theory for Symbolic Summation

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. Key words: Symbolic summation, difference fields, nested depth

• Type: Journal
• Year: 2008
• Where: CORR
• Authors: Carsten Schneider
• Keywords: CORR 2008, Difference Fields, Education, Optimal Nested Depth, Refined Summation Theory