Mathematical Sciences: Conference in Honor of A.O.L. Atkin: Computational Perspectives on Number Theory

这一奖项为为纪念A.O.L.阿特金教授而举行的为期三天的计算数论会议提供了支持。这次会议将于1995年9月14日至16日在芝加哥伊利诺伊大学举行，会议将集中讨论数论计算的两个基本方面。其中第一个涉及在纯数论中进行实验和支持猜想的计算技术的发展，特别是在与模形式相关的领域；第二个涉及从纯理论到算法问题的技术应用，如因式分解、素性测试和代数簇上的计点。这项研究属于数论领域。这一学科领域的历史根源在于对整数的研究，解决了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，几个世纪以来一直被人们追求，主要是出于美学方面的原因。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设计等领域的各种应用中不可或缺的工具。

This award provides support for a three-day conference on computational number theory to be held in honor of Professor A.O.L. Atkin. The conference, which will take place on September 14-16, 1995, at the University of Illinois at Chicago, will focus on two fundamental aspects of computation in number theory. The first of these concerns development of computational techniques to conduct experimentation and support conjectures in the pure theory of numbers, especially in areas related to modular forms; the second deals with applications of techniques from the pure theory to algorithmic problems such as those arising in factoring, primality testing, and counting points on algebraic varieties. This research is in the field of number theory. This subject area has its historical roots in the study of the whole numbers, addressing such questions as the divisibility of one whole number by another. It is among the oldest branches of mathematics and was pursued for many centuries for mainly 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 the design of communication systems.