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arXiv · 2303.12882

Pair correlation of Farey fractions with square-free denominators

Bittu Chahal·Sneha Chaubey
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Abstract

In this article, we study the pair correlation of Farey fractions by proving that the limiting pair correlation function of the sequence of Farey fractions with square-free denominators exists and provide an explicit formula for the limiting pair correlation function.

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Bittu Chahal, Sneha Chaubey. 2023-03-22. Pair correlation of Farey fractions with square-free denominators. https://arxiv.org/abs/2303.12882

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