L-functions of certain exponential sums over finite fields II

被引：3

作者：

Lin, Xin ^{[1
]}

Chen, Chao ^{[2
]}

机构：

[1] Shanghai Maritime Univ, Dept Math, Shanghai 201306, Peoples R China

[2] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA

来源：

JOURNAL OF NUMBER THEORY | 2022年 / 241卷

关键词：

Exponential sums; L-function; Laurent polynomials; Newton polygon; Hodge polygon; Decomposition theory; Weight computation;

D O I：

10.1016/j.jnt.2022.03.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we compute the q-adic slopes of the L-functions of an important class of exponential sums arising from analytic number theory. Our main tools include Adolphson-Sperber's work on toric exponential sums and Wan's decomposition theorems. This paper is a generalization of our previous paper. (C) 2022 Elsevier Inc. All rights reserved.

引用

页码：198 / 220

页数：23

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