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2020 The irrationality measure of $\pi$ is at most $7.103205334137\dots$
Doron Zeilberger, Wadim Zudilin
Mosc. J. Comb. Number Theory 9(4): 407-419 (2020). DOI: 10.2140/moscow.2020.9.407

Abstract

We use a variant of Salikhov’s ingenious proof that the irrationality measure of π is at most 7.606308 to prove that, in fact, it is at most 7.103205334137 .

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Doron Zeilberger. Wadim Zudilin. "The irrationality measure of $\pi$ is at most $7.103205334137\dots$." Mosc. J. Comb. Number Theory 9 (4) 407 - 419, 2020. https://doi.org/10.2140/moscow.2020.9.407

Information

Received: 13 December 2019; Revised: 7 January 2020; Accepted: 24 May 2020; Published: 2020
First available in Project Euclid: 12 November 2020

zbMATH: 07272358
MathSciNet: MR4170705
Digital Object Identifier: 10.2140/moscow.2020.9.407

Subjects:
Primary: 11J82
Secondary: 11Y60, 33C60, 33F10

Rights: Copyright © 2020 Mathematical Sciences Publishers

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