|
|||||
 |
|
|
|
|
|
|
|
|
|
The irrationality
measure of $\pi$ is at most $7.103205334137\dots$
Doron Zeilberger and Wadim Zudilin |
|
Vol. 9 (2020), No. 4, 407–419
|
Abstract |
|
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 . |
|
In memory of Naum Il'ich Feldman (1918–1994) |
PDF Access Denied
We have not been able to recognize your IP address
3.142.173.227
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for USD 40.00:
Keywords
$\pi$, irrationality measure, experimental mathematics,
Almkvist–Zeilberger algorithm
|
Mathematical Subject Classification 2010
Primary: 11J82
Secondary: 11Y60, 33F10, 33C60
|
Milestones
Received: 13 December 2019
Revised: 7 January 2020
Accepted: 24 May 2020
Published: 5 November 2020
|
Authors |
| Doron Zeilberger | |
| Department of Mathematics Rutgers University–New Brunswick Busch Campus Piscataway, NJ United States |
|
| Wadim Zudilin | |
| Department of Mathematics Institute for Mathematics, Astrophysics and Particle Physics Radboud University Nijmegen Netherlands |
|
