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

数学科学：纪念 A.O.L. 的会议

• 批准号: 9503311
• 负责人: Jeremy Teitelbaum
• 金额: $ 1万
• 依托单位: University of Illinois at Chicago
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1995
• 资助国家: 美国
• 起止时间: 1995-06-01 至 1996-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9503311&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Conference; Honor; A.O.L.

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.

该奖项提供了一个为期三天的会议上计算数论的支持，将在荣誉教授A.O.L.举行。阿特金 会议将于1995年9月14日至16日在芝加哥的伊利诺斯大学举行，会议将集中讨论数论计算的两个基本方面。 其中第一个关注的发展计算技术进行实验和支持acutures在纯理论的号码，特别是在有关领域的模块形式;第二个涉及应用技术从纯理论的算法问题，如所产生的因素，素性测试，和计数点的代数品种。 这项研究属于数论领域。 这一学科领域有其历史根源，在研究整个数字，解决这样的问题，整除一个数字由另一个。 它是数学中最古老的分支之一，主要是出于美学原因而被追求了许多世纪。 然而，在过去的半个世纪，它已成为一个不可或缺的工具，在不同的应用领域，如数据传输和处理，以及通信系统的设计。