Properties of Coefficients of Certain Linear Forms in Generalized Polylogarithms

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.

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