Abstract
For each positive integer Q, let ℱQ denote the Farey sequence of order Q. We prove the existence of the pair correlation measure associated to the sum ℱQ + ℱQ modulo 1, as Q tends to infinity, and compute the corresponding limiting pair correlation function.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 21-67 |
| Number of pages | 47 |
| Journal | Journal fur die Reine und Angewandte Mathematik |
| Issue number | 641 |
| DOIs | |
| State | Published - Apr 2010 |
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics
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