Hypergeometry inspired by irrationality questions
Number Theory
2021-06-01 v2 Classical Analysis and ODEs
Combinatorics
Abstract
We report new hypergeometric constructions of rational approximations to Catalan's constant, , and , 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.
Cite
@article{arxiv.1802.08856,
title = {Hypergeometry inspired by irrationality questions},
author = {Christian Krattenthaler and Wadim Zudilin},
journal= {arXiv preprint arXiv:1802.08856},
year = {2021}
}
Comments
AmS-LaTeX, 15 pages