Properties of Coefficients of Certain Linear Forms in Generalized Polylogarithms

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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.
to appear in the special issue of Fundamental and Applied Mathematics dedicated to the 90th birthday of A.B. Shidlovskii

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Number Theory, Classical Analysis and ODEs, 11J72; 11G55; 11M06; 33B30

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http://salesiana.dossiersoluciones.com/handle/123456789/104863

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0511245
 http://arxiv.org/abs/math/0511245
 Fundamentalnaya i Prikladnaya Matematika (Fundamental and Applied Mathemetics). 2005. V. 11. No.6. P. 41-58.

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arXiv