Mathematical Sciences: In Celebration of the Centenary of the Prime Number Theorem: A Symposium on the Riemann Hypothesis; August 12-15, 1996; Seattle, Washington

Conrey 9633706该奖项为“庆祝质数定理百年纪念：黎曼假说研讨会”提供了部分资金。一百年前，阿达玛和德·拉瓦莱·普辛在质数定理的证明中独立地给出了最后的论点。他们遵循了黎曼大约37年前制定的计划。然而，黎曼理解素数的目标仍然没有实现，因为著名的黎曼假设仍然悬而未决。本次会议的演讲者将介绍黎曼原创工作中出现的许多有趣的发展，以期了解关于黎曼Zeta函数的零点和相关的L函数的未来研究方向。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。

Conrey 9633706 This award provides partial funding for the conference "In Celebration of the Centenary of the Prime Number Theorem: A Symposium on the Riemann Hypothesis." One hundred years ago, Hadamard and de la Vallee Poussin independently gave the final arguments in the proof of the Prime Number Theorem. They followed a plan that had been mapped out by Riemann some 37 years earlier. However, Riemann's goals for understanding the prime numbers are still not realized as the famous Riemann Hypothesis remains tantalizingly unsolved. Speakers at this conference will present many of the interesting developments that have arisen from Riemann's original work, with an eye to understanding future research directions regarding the zeros of the Riemann zeta-function and related L-functions. 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.