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The irrationality
measure of $\pi$ is at most $7.103205334137\dots$
Doron Zeilberger and Wadim Zudilin |
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Vol. 9 (2020), No. 4, 407–419
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Abstract |
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We use a variant of Salikhov’s ingenious proof that the irrationality measure of is at most to prove that, in fact, it is at most . |
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In memory of Naum Il'ich Feldman (1918–1994) |
Keywords
$\pi$, irrationality measure, experimental mathematics,
Almkvist–Zeilberger algorithm
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Mathematical Subject Classification 2010
Primary: 11J82
Secondary: 11Y60, 33F10, 33C60
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Milestones
Received: 13 December 2019
Revised: 7 January 2020
Accepted: 24 May 2020
Published: 5 November 2020
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Authors |
| Doron Zeilberger | |
| Department of Mathematics Rutgers University–New Brunswick Busch Campus Piscataway, NJ United States |
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| Wadim Zudilin | |
| Department of Mathematics Institute for Mathematics, Astrophysics and Particle Physics Radboud University Nijmegen Netherlands |
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