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Properties of Coefficients of Certain Linear Forms in Generalized Polylogarithms

Sergey Zlobin
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Abstract

We study properties of coefficients of a linear form, originating from a multiple integral. As a corollary, we prove Vasilyev's conjecture, connected with the problem of irrationality of the Riemann zeta function at odd integers.

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Sergey Zlobin. 2005-11-09. Properties of Coefficients of Certain Linear Forms in Generalized Polylogarithms. https://arxiv.org/abs/math/0511245

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