Geodesic
On the equivalence of Beukers-type and Sorokin-type multiple integrals
Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 5, pp. 49-59

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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. 
@article{FPM_2010_16_5_a4,
     author = {C. Viola},
     title = {On the equivalence of {Beukers-type} and {Sorokin-type} multiple integrals},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {49--59},
     publisher = {mathdoc},
     volume = {16},
     number = {5},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2010_16_5_a4/}
}
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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/