An improvement for the large sieve for square moduli

被引：30

作者：

Baier, Stephan ^{[1
]}

Zhao, Liangyi ^{[2
]}

机构：

[1] Queens Univ, Dept Math & Stat, Kingston, ON K7L 3N6, Canada

[2] Univ Toronto, Dept Math, Toronto, ON M5S 2E4, Canada

来源：

JOURNAL OF NUMBER THEORY | 2008年 / 128卷 / 01期

关键词：

large sieve; Farey fractions in short intervals; estimates on exponential sums and integrals;

D O I：

10.1016/j.jnt.2007.03.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish a result on the large sieve with square moduli. These bounds improve recent results by S. Baier [S. Baier, On the large sieve with sparse sets of moduli, J. Ramanujan Math. Soc. 21 (2006) 279-295] and L. Zhao [L. Zhao, Large sieve inequality for characters to square moduli, Acta Arith. 112 (3) (2004) 297-308]. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：154 / 174

页数：21

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