A refined difference field theory for symbolic summation |
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| Authors: | Carsten Schneider |
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| Affiliation: | Research Institute for Symbolic Computation, J. Kepler University Linz, A-4040 Linz, Austria |
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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. |
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| Keywords: | Symbolic summation Difference fields Nested depth |
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