# Hypergeometry inspired by irrationality questions

@article{Krattenthaler2018HypergeometryIB,
title={Hypergeometry inspired by irrationality questions},
author={C. Krattenthaler and W. Zudilin},
journal={arXiv: Number Theory},
year={2018}
}
• Published 2018
• Mathematics
• arXiv: Number Theory
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.
6 Citations
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