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

共 19 条

[1] Baier S., 2006, J RAMANUJAN MATH SOC, V21, P279
[2] LARGE SIEVE INEQUALITY WITH CHARACTERS FOR POWERFUL MODULI
Baier, Stephan
Zhao, Liangyi
[J]. INTERNATIONAL JOURNAL OF NUMBER THEORY, 2005, 1 (02) : 265 - 279
[3] Bombieri-Vinogradov type theorems for sparse sets of moduli
Baier, Stephan
Zhao, Liangyi
[J]. ACTA ARITHMETICA, 2006, 125 (02) : 187 - 201
[4] BOMBIERI E, 1969, ANN SCUOLA NORM SUP, V23, P223
[5] Bump D., 1997, CAMBRIDGE STUD ADV M, V55
[6] VALUES OF A TRIGONOMETRICAL POLYNOMIAL AT WELL SPACED POINTS
DAVENPORT, H
HALBERSTAM, H
[J]. MATHEMATIKA, 1966, 13 (25P1) : 91 - +
[7] Davenport H., 2000, Grad. Texts in Math., V74
[8] Davenport H., 1967, MATHEMATIKA, V14, P232
[9] Primes in short arithmetic progressions with rapidly increasing differences
Elliott, PDTA
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2001, 353 (07) : 2705 - 2724
[10] LARGE SIEVE
GALLAGHER, PX
[J]. MATHEMATIKA, 1967, 14 (27P1) : 14 - +

← 1 2 →