Exponential Sums over Finite Fields

作     者：WAN Daqing WAN Daqing

作者机构：Department of MathematicsUniversity of CaliforniaIrvineCA 92697-3875USA 

出 版 物：《Journal of Systems Science & Complexity》 (系统科学与复杂性学报（英文版）)

年 卷 期：2021年第34卷第4期

页      面：1225-1278页

核心收录：

学科分类：0810[工学-信息与通信工程] 1205[管理学-图书情报与档案管理] 07[理学] 0811[工学-控制科学与工程] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 070101[理学-基础数学] 

基　　金：partially supported by the National Natural Science of Foundation under Grant No.1900929 

主　　题：Degrees of exponential sums finite fields Gauss sums Kloosterman sums L-functions 

摘      要：This is an expository paper on algebraic aspects of exponential sums over finite *** is a new *** examples,results and open problems are presented along the way,with particular emphasis on Gauss periods,Kloosterman sums and one variable exponential *** main tool is the applications of various p-adic *** this reason,the author has also included a brief exposition of certain p-adic estimates of exponential *** material is based on the lectures given at the 2020 online number theory summer school held at Xiamen *** were taken by Shaoshi Chen and Ruichen Xu.