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arXiv · 1802.08856

Hypergeometry inspired by irrationality questions

Christian Krattenthaler·Wadim Zudilin
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Abstract

We report new hypergeometric constructions of rational approximations to Catalan's constant, $\log2$, and $\pi^2$, their connection with already known ones, and underlying "permutation group" structures. Our principal arithmetic achievement is a new partial irrationality result for the values of Riemann's zeta function at odd integers.

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Christian Krattenthaler, Wadim Zudilin. 2018-02-24. Hypergeometry inspired by irrationality questions. https://doi.org/10.2206/kyushujm.73.189

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