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arXiv · 0907.0163

A note on Farey fractions with denominators in arithmetic progressions

Dmitry A. Badziahin·Alan K. Haynes
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Abstract

As the conclusion of a line of investigation undertaken in two previous papers, we compute asymptotic frequencies for the values taken by numerators of differences of consecutive Farey fractions with denominators restricted to lie in arithmetic progression.

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Dmitry A. Badziahin, Alan K. Haynes. 2009-07-01. A note on Farey fractions with denominators in arithmetic progressions. https://arxiv.org/abs/0907.0163

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