The irrationality measure of π is at most 7.103205334137 …

Doron Zeilberger, Wadim Zudilin

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

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 … .

Original languageEnglish (US)
Pages (from-to)407-419
Number of pages13
JournalMoscow Journal of Combinatorics and Number Theory
Volume9
Issue number4
DOIs
StatePublished - 2020

All Science Journal Classification (ASJC) codes

  • Discrete Mathematics and Combinatorics
  • Algebra and Number Theory

Keywords

  • Almkvist–Zeilberger algorithm
  • Experimental mathematics
  • Irrationality measure
  • π

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