The Mayer-Erdös phenomenon

Research output: Contribution to journalArticlepeer-review

Abstract

Two rational numbers r and r′ are said to be similarly ordered if r = a/q, r′ = a′/q′, gcd(a, q) = gcd(a′, q′) = 1, and (a - a′) (q - q′) ≥ 0. We investigate the problem of similar ordering of chains of consecutive Farey fractions.

Original languageEnglish (US)
Pages (from-to)147-156
Number of pages10
JournalIndagationes Mathematicae
Volume17
Issue number1
DOIs
StatePublished - Mar 27 2006

Keywords

  • 11B57
  • Farey fractions
  • Similar ordering

ASJC Scopus subject areas

  • Mathematics(all)

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