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Séries hypergéométriques multiples et polyzêtas

Jacky Cresson·Stephane Fischler·Tanguy Rivoal
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Abstract

We describe a theoretical and effective algorithm which enables us to prove that rather general hypergeometric series and integrals can be decomposed as linear combinations of multiple zeta values, with rational coefficients.

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Jacky Cresson, Stephane Fischler, Tanguy Rivoal. 2006-09-27. Séries hypergéométriques multiples et polyzêtas. https://arxiv.org/abs/math/0609743

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