Geodesic
On the equivalence of Beukers-type and Sorokin-type multiple integrals
Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 5, pp. 49-59 
C. Viola. On the equivalence of Beukers-type and Sorokin-type multiple integrals. Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 5, pp. 49-59. http://geodesic.mathdoc.fr/item/FPM_2010_16_5_a4/
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     title = {On the equivalence of {Beukers-type} and {Sorokin-type} multiple integrals},
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     url = {http://geodesic.mathdoc.fr/item/FPM_2010_16_5_a4/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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