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

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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.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Pisa, Largo B. Pontecorvo 5, 56127, Pisa, Italy

    C. Viola

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  1. C. Viola
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Correspondence to C. Viola.

Additional information

Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 16, No. 5, pp. 49–59, 2010.

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Viola, C. On the equivalence of Beukers-type and Sorokin-type multiple integrals. J Math Sci 180, 561–568 (2012). https://doi.org/10.1007/s10958-012-0655-0

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  • DOI: https://doi.org/10.1007/s10958-012-0655-0

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