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Rhin integrals |
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| Authors: | S. A. Zlobin |
| Affiliation: | (1) Moscow State University, Russia |
| 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). |
| Keywords: | Rhin integral Riemann zeta function multiple integral Apéry approximation polylogarithm Beukers integral hypergeometric function |
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