Double sums of Kloosterman sums in finite fields

被引：3

作者：

Macourt, Simon ^{[1
]}

Shparlinski, Igor E. ^{[1
]}

机构：

[1] Univ New South Wales, Sch Math & Stat, Sydney, NSW 2052, Australia

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2019年 / 60卷

基金：

澳大利亚研究理事会;

关键词：

Kloosterman sums; Finite fields; Double sum; Cancellation; BILINEAR-FORMS; 4TH MOMENT; CANCELLATIONS; MODULO;

D O I：

10.1016/j.ffa.2019.101575

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We bound double sums of Kloosterman sums over a finite field F-q, with one or both parameters ranging over an affine space over its prime subfield F-p subset of F-q. These are finite fields analogues of a series of recent results by various authors in finite fields and residue rings. Our results are based on recent advances in additive combinatorics in arbitrary finite field. (C) 2019 Published by Elsevier Inc.

引用

页数：7

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