Pair correlation of Farey fractions with square-free denominators

被引：0
|
作者：
Chahal, Bittu [1 ]
Chaubey, Sneha [1 ]
机构：
[1] IIIT Delhi, Dept Math, New Delhi 110020, India
来源：
ACTA ARITHMETICA | 2024年
关键词：
Farey fractions; pair correlation; square-free numbers; RATIONALS;
D O I：
10.4064/aa230329-6-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the pair correlation of Farey fractions by proving that the limiting pair correlation function of the sequence of Farey fractions with square-free denominators exists and provide an explicit formula for the limiting pair correlation function.
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页数：19
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