Abstract
We study a generalization of the integrals examined by G. Rhin, in the form of multiple integrals. These integrals yield rational approximations to the values of the Riemann zeta function. In a particular case, we obtain Apéry approximations used to prove the irrationality of the number ζ(3).
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Original Russian Text © S. A. Zlobin, 2007, published in Matematicheskie Zametki, 2007, Vol. 81, No. 2, pp. 226–239.
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Zlobin, S.A. Rhin integrals. Math Notes 81, 201–212 (2007). https://doi.org/10.1134/S0001434607010233
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DOI: https://doi.org/10.1134/S0001434607010233