Finite monodromy of some families of exponential sums

被引：4

作者：

Rojas-Leon, Antonio ^{[1
]}

机构：

[1] Univ Seville, Fac Matemat, Dept Algebra, C Tarfia S-N, E-41012 Seville, Spain

来源：

JOURNAL OF NUMBER THEORY | 2019年 / 197卷

关键词：

Exponential sums; Monodromy; l-Adic cohomology; Almost perfect nonlinear functions;

D O I：

10.1016/j.jnt.2018.06.012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a prime p and an integer d > 1, we give a numerical criterion to decide whether the l-adic sheaf associated to the one-parameter exponential sums t bar righr arrow Sigma(x) psi(x(d) + tx) over F-p has finite monodromy or not, and work out some explicit cases where this is computable. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：37 / 48

页数：12

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