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arXiv · 1301.0277

Gap distribution of Farey fractions under some divisibility constraints

Florin P. Boca·Byron Heersink·Paul Spiegelhalter
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Abstract

For a fixed positive integer d, we show the existence of the limiting gap distribution measure for the sets of Farey fractions a/q of order Q with a not divisible by d, and respectively with q relatively prime with d, as Q tends to infinity.

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Florin P. Boca, Byron Heersink, Paul Spiegelhalter. 2013-04-11. Gap distribution of Farey fractions under some divisibility constraints. https://arxiv.org/abs/1301.0277

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