Publication: Pair correlation of sums of rationals with bounded height
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KU-Authors
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Co-Authors
Xiong, Maosheng
Zaharescu, Alexandru
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NO
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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.
Source
Publisher
De Gruyter
Subject
Mathematics
Citation
Has Part
Source
Journal für die Reine und angewandte Mathematik
Book Series Title
Edition
DOI
10.1515/CRELLE.2010.027