Hypergeometric rational approximations to $\zeta(4)$
Number Theory
2020-04-30 v1 Classical Analysis and ODEs
Abstract
We give a new hypergeometric construction of rational approximations to , which absorbs the earlier one from 2003 based on Bailey's hypergeometric integrals. With the novel ingredients we are able to get a better control of arithmetic and produce a record irrationality measure for .
Keywords
Cite
@article{arxiv.1905.12579,
title = {Hypergeometric rational approximations to $\zeta(4)$},
author = {Raffaele Marcovecchio and Wadim Zudilin},
journal= {arXiv preprint arXiv:1905.12579},
year = {2020}
}
Comments
24 pages