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Pair correlation of sums of rationals with bounded height

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Xiong, Maosheng
Zaharescu, Alexandru

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Abstract

For each positive integer Q, let F(Q) denote the Farey sequence of order Q. We prove the existence of the pair correlation measure associated to the sum F(Q) + F(Q) modulo 1, as Q tends to infinity, and compute the corresponding limiting pair correlation function.

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De Gruyter

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Mathematics

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Journal für die Reine und angewandte Mathematik

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DOI

10.1515/CRELLE.2010.027

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