L-functions of certain exponential sums over finite fields

被引：0

作者：

Chao Chen

Xin Lin

机构：

[1] University of California,Department of Mathematics

[2] Irvine,Department of Mathematics

[3] Shanghai Maritime University,undefined

来源：

Mathematische Zeitschrift | 2022年 / 300卷

关键词：

Exponential sums; L-function; Laurent polynomials; Newton polygon; Hodge polygon; Decomposition theory; Weight computation; Primary 11S40; 11T23; 11L07;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we completely determine the slopes and weights 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. One consequence of our main result is a sharp estimate of these exponential sums. Another consequence is to obtain an explicit counterexample of Adolphson–Sperber’s conjecture on weights of toric exponential sums.

引用

页码：1851 / 1871

页数：20

共 17 条

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