A useful application of Brun's irrationality criterion

Research output: Contribution to journalArticle (Academic Journal)peer-review

Abstract

We show that Apéry's sequence of rational numbers that converge to ζ(3) contains a subsequence that satisfies an irrationality criterion of Brun.
Original languageEnglish
Pages (from-to)121-134
Number of pages14
JournalExpositiones Mathematicae
Volume33
Issue number1
Early online date19 Apr 2014
DOIs
Publication statusPublished - 2015

Keywords

  • Irrationality
  • Zeta function

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