On the index of fractions with square-free denominators in arithmetic progressions

被引：0
|
作者：
Emre Alkan
Andrew H. Ledoan
Marian Vâjâitu
Alexandru Zaharescu
机构：
[1] University of Illinois at Urbana-Champaign,Department of Mathematics
[2] Romanian Academy,“Simion Stoilow” Institute of Mathematics
来源：
The Ramanujan Journal | 2008年 / 16卷
关键词：
Index of Farey fractions; Square-free integers; Riemann zeta-function and Dirichlet ; -functions; Arithmetic progressions; 11B57; 11M06; 11N25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove asymptotic formulas for the first and second moments of the index of fractions with square-free denominators of order Q streaming in a given arithmetic progression as Q→∞.
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页码：131 / 161
页数：30
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