This article is cited in 4 papers

Properties of coefficients of certain linear forms in generalized polylogarithms

S. A. Zlobin

M. V. Lomonosov Moscow State University

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.

UDC: 511.36

 English version: Journal of Mathematical Sciences (New York), 2007, 146:2, 5655–5668

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