Published January 1, 2010 | Version v1
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Pair correlation of sums of rationals with bounded height

  • 1. Koc Univ, Dept Math, TR-34450 Istanbul, Turkey
  • 2. Penn State Univ, Dept Math, Eberly Coll Sci, University Pk, PA 16802 USA

Description

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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