Mathematical Sciences: Zeta Functions and Automorphic Forms

该奖项支持关于Zeta函数和自同构型的数论问题的研究。主要研究了与自同构形式相关的欧拉积、Eisenstein级数以及某些Zeta函数的特殊值。这种欧拉积(或Zeta函数)的理论是现代数论的中心主题之一，而艾森斯坦级数是与它们密不可分的解析函数。Zeta函数的特殊值的研究相对较新，但已成为人们日益感兴趣的主题。这项研究属于数论的一般数学领域。数论的历史根源在于对整数的研究，它解决了一些问题，比如一个整数被另一个整数整除的问题。它是数学中最古老的分支之一，出于纯粹的美学原因，人们追寻了许多个世纪。然而，在过去的半个世纪里，它已经成为数据传输和处理以及通信系统等领域的各种应用中不可或缺的工具。

This award supports an investigation on number-theoretical problems on zeta functions and automorphic forms. The Euler products associated to automorphic forms, Eisenstein series, and the special values of certain zeta functions are the main objects of study. The theory of such Euler products (or zeta functions) is one of the central themes of modern number theory, and Eisenstein series are analytic functions inseparably connected to them. The investigation of special values of zeta functions is relatively new, but has become the subject of increasing interest. This research falls into the general mathematical field of Number Theory. Number theory has its historical roots in the study of the whole numbers, addressing such questions as those dealing with the divisibility of one whole number by another. It is among the oldest branches of mathematics and was pursued for many centuries for purely aesthetic reasons. However, within the last half century it has become an indispensable tool in diverse applications in areas such as data transmission and processing, and communication systems.