Exponential Sums over Finite Fields
Exponential Sums over Finite Fields
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DOI：
10.1007/s11424-021-0066-8
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发表时间：
2021-08
影响因子：
2.1
通讯作者：
D. Wan
中科院分区：
文献类型：
--
作者：
D. Wan
这是一篇关于有限域上指数和的代数方面的说明性论文。这是一个新的方向。文中给出了各种例子、结果和未解决的问题，特别强调了Gauss周期、Krousterman和和一元指数和。其中一个主要的工具就是各种p-adi方法的应用。为此，作者还简要地阐述了指数和的确定性估计。这些材料是根据厦门大学2020年在线数论暑期班的讲座编写的。陈绍史和徐瑞晨做了笔记。
This is an expository paper on algebraic aspects of exponential sums over finite fields. This is a new direction. Various examples, results and open problems are presented along the way, with particular emphasis on Gauss periods, Kloosterman sums and one variable exponential sums. One main tool is the applications of various p-adic methods. For this reason, the author has also included a brief exposition of certainp-adic estimates of exponential sums. The material is based on the lectures given at the 2020 online number theory summer school held at Xiamen University. Notes were taken by Shaoshi Chen and Ruichen Xu.