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arXiv · 0904.2323

A Symbolic Summation Approach to Find Optimal Nested Sum Representations

Carsten Schneider
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Abstract

We consider the following problem: Given a nested sum expression, find a sum representation such that the nested depth is minimal. We obtain a symbolic summation framework that solves this problem for sums defined, e.g., over hypergeometric, $q$-hypergeometric or mixed hypergeometric expressions. Recently, our methods have found applications in quantum field theory.

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Carsten Schneider. 2009-04-15. A Symbolic Summation Approach to Find Optimal Nested Sum Representations. https://arxiv.org/abs/0904.2323

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