Two hypergeometric tales and a new irrationality measure of ζ(2)

Title: Two hypergeometric tales and a new irrationality measure of ζ(2)
Creator: Zudilin, Wadim
Relation: Annales mathématiques du Québec Vol. 38, Issue 1, p. 101-117
Publisher Link: http://dx.doi.org/10.1007/s40316-014-0016-0
Publisher: Springer
Resource Type: journal article
Date: 2014
Description: We prove the new upper bound 5.095412 for the irrationality exponent of ζ(2)=π2/6; the earlier record bound 5.441243 was established in 1996 by G. Rhin and C. Viola.
Subject: irrationality exponent; rational approximations; hypergeometric series; primary 11J82; secondary 11Y60; 33C20; 33C60
Identifier: http://hdl.handle.net/1959.13/1294648
Identifier: uon:18838
Identifier: ISSN:2195-4755
Language: eng
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