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Pair correlation of sums of rationals with bounded height.
- Source :
-
Journal für die Reine und Angewandte Mathematik . Apr2010, Vol. 2010 Issue 641, p21-67. 47p. 1 Graph. - Publication Year :
- 2010
-
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]
Details
- Language :
- English
- ISSN :
- 00754102
- Volume :
- 2010
- Issue :
- 641
- Database :
- Academic Search Index
- Journal :
- Journal für die Reine und Angewandte Mathematik
- Publication Type :
- Academic Journal
- Accession number :
- 52680763
- Full Text :
- https://doi.org/10.1515/CRELLE.2010.027