FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2010, VOLUME 16, NUMBER 5, PAGES 49-59

**On the equivalence of Beukers-type and Sorokin-type multiple integrals**

C. Viola

Abstract

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It is well known that a triple Beukers-type integral, as defined
by G. Rhin and C. Viola, can be transformed into
a suitable triple Sorokin-type integral.
I will discuss possible extensions to the $n$-dimensional case of
a similar equivalence between suitably defined Beukers-type and
Sorokin-type multiple integrals, with consequences on the arithmetical
structure of such integrals as linear combinations of zeta-values with
rational coefficients.

Location: http://mech.math.msu.su/~fpm/eng/k10/k105/k10505h.htm

Last modified: May 30, 2011