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arXiv · 0907.2171

The Distribution of Special Subsets of the Farey Sequence

Alan K. Haynes
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Abstract

In this paper we generalize some of our results from, `A note on Farey fractions with odd denominators' to subsets of Farey fractions consisting of fractions with denominators not divisible by a given prime. We also investigate the joint distribution of numerators of differences of h-tuples of consecutive fractions in these sets.

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Alan K. Haynes. 2009-07-13. The Distribution of Special Subsets of the Farey Sequence. https://arxiv.org/abs/0907.2171

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