A Symbolic Summation Approach to Find Optimal Nested Sum Representations

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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.
To appear in Clay Mathematics Proceedings

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Symbolic Computation, Combinatorics, Number Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/227094

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0904.2323
 http://arxiv.org/abs/0904.2323

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arXiv