Finite monodromy of some families of exponential sums

JOURNAL OF NUMBER THEORY

卷:197

Article

Rojas-Leon, Antonio¹ 

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

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

DOI  :  10.1016/j.jnt.2018.06.012

来源: Elsevier

【 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.

【 授权许可】

Free