The Mayer-Erdös phenomenon

Alexandru Zaharescu

doi:10.1016/S0019-3577(06)80012-1

The Mayer-Erdös phenomenon

Alexandru Zaharescu

Mathematics

Research output: Contribution to journal › Article › peer-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 language	English (US)
Pages (from-to)	147-156
Number of pages	10
Journal	Indagationes Mathematicae
Volume	17
Issue number	1
DOIs	https://doi.org/10.1016/S0019-3577(06)80012-1
State	Published - Mar 27 2006

Keywords

11B57
Farey fractions
Similar ordering

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.1016/S0019-3577(06)80012-1

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