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2. Pair correlation of sums of rationals with bounded height.

Author

Alkan, Emre, Maosheng Xiong, and Zaharescu, Alexandru

Subjects
*FAREY sequences, *NUMBER theory, *STATISTICAL correlation, *INFINITY (Mathematics), *ALGEBRA, *MATHEMATICS
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. [ABSTRACT FROM AUTHOR]

Published
2010
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