Year: 2020
Type: article
Abstract: We give a new hypergeometric construction of rational approximations to ζ(4), which absorbs the earlier one from 2003 based on Bailey's 9F8 hypergeometric integrals. With the novel ingredients we are able to gain better control of the arithmetic and produce a record irrationality measure for ζ(4).
Authors: Raffaele Marcovecchio, Wadim Zudilin
Institutions: University of Chieti-Pescara, Radboud University Nijmegen
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,070
OpenAlex ID: W2947159777