Gap distribution of Farey fractions under some divisibility constraints

Florin P. Boca; Byron Heersink; Paul Spiegelhalter

doi:10.1515/9783110298161.634

Gap distribution of Farey fractions under some divisibility constraints

Florin P. Boca, Byron Heersink, Paul Spiegelhalter

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

For a given positive integer ℓ, we show the existence of the limiting gap distribution measure for the sets of Farey fractions a/q of order Q with ℓ / a, and respectively with (q, ℓ) = 1, as Q → ∞.

Original language	English (US)
Title of host publication	Integers
Subtitle of host publication	Annual Volume 2013
Publisher	Walter de Gruyter GmbH
Pages	634-648
Number of pages	15
ISBN (Electronic)	9783110298161
ISBN (Print)	9783110298116
DOIs	https://doi.org/10.1515/9783110298161.634
State	Published - Jan 1 2014

ASJC Scopus subject areas

General Mathematics

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Gap distribution of Farey fractions under some divisibility constraints

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