RUS  ENG
Full version
JOURNALS // Fundamentalnaya i Prikladnaya Matematika // Archive

Fundam. Prikl. Mat., 2010 Volume 16, Issue 5, Pages 49–59 (Mi fpm1337)

This article is cited in 1 paper

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

C. Viola

University of Pisa, Italy

Abstract: 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.

UDC: 511.4


 English version:
Journal of Mathematical Sciences (New York), 2012, 180:5, 561–568

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2026