FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2005, VOLUME 11, NUMBER 6, PAGES 41-58

Properties of coefficients of certain linear forms in generalized polylogarithms

S. A. Zlobin

Abstract

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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.

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Last modified: January 13, 2006