Properties of Coefficients of Certain Linear Forms in Generalized Polylogarithms
Number Theory
2007-05-23 v1 Classical Analysis and ODEs
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.
Cite
@article{arxiv.math/0511245,
title = {Properties of Coefficients of Certain Linear Forms in Generalized Polylogarithms},
author = {Sergey Zlobin},
journal= {arXiv preprint arXiv:math/0511245},
year = {2007}
}
Comments
to appear in the special issue of Fundamental and Applied Mathematics dedicated to the 90th birthday of A.B. Shidlovskii