Properties of Coefficients of Certain Linear Forms in Generalized Polylogarithms

Details Properties of Coefficients of Certain Linear Forms in Generalized Polylogarithms Properties of Coefficients of Certain Linear Forms in Generalized Polylogarithms

2005-11-09

arxiv.org/abs/math/0511245v1

Fundamentalnaya i Prikladnaya Matematika (Fundamental and Applied Mathemetics). 2005. V. 11. No.6. P. 41-58.

Mathematics

Number Theory

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

Scientific paper

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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