On Weil's proof of the bound for Kloosterman sums

被引：9

作者：

Conrad, K ^{[1
]}

机构：

[1] Univ Calif San Diego, Dept Math, La Jolla, CA 92093 USA

来源：

JOURNAL OF NUMBER THEORY | 2002年 / 97卷 / 02期

关键词：

Kloosterman sum; L-function;

D O I：

10.1016/S0022-314X(02)00011-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

While most proofs of the Weil bound on one-variable Kloosterman sums over finite fields are carried out in all characteristics, the original proof of this bound, by Weil, assumes the characteristic is odd. We show how to make Weil's argument work in even characteristic, for both ordinary Kloosterman sums and sums twisted by a multiplicative character. (C) 2002 Elsevier Science (USA). All rights reserved.

引用

页码：439 / 446

页数：8

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