Sums of modulos of exponential sums

被引：16

作者：

Fouvry, E

Michel, P

机构：

[1] Univ Paris 11, F-91405 Orsay, France

[2] Univ Montpellier 2, F-34095 Montpellier, France

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2003年 / 209卷 / 02期

关键词：

D O I：

10.2140/pjm.2003.209.261

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Kl(a, b; n) be the usual Kloosterman sum modulo n, with coefficients a and b. We give upper and lower bounds for the sum Sigma(nless than or equal tox) | Kl(1, 1; n)|/rootn, and for related sums, by using large sieve techniques and Deligne-Katz theory of exponential sums. Extensions to more general exponential sums of dimension one are also given.

引用

页码：261 / 288

页数：28

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