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.

Location: http://mech.math.msu.su/~fpm/eng/k05/k056/k05605h.htm

Last modified: January 13, 2006