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“庆祝素数定理一百周年：黎曼假设研讨会”会议提供部分资金。100年前，阿达玛和德·拉·瓦利·普桑独立地给出了素数定理证明的最后一个论点。他们遵循了一个计划，已制定了黎曼约37年前。然而，黎曼的目标，了解素数仍然没有实现著名的黎曼假设仍然悬而未决。本次会议的发言者将提出许多有趣的发展，已经从黎曼的原始工作，着眼于了解未来的研究方向，关于零点的黎曼zeta函数和相关的L-功能。 本文的研究属于数论中的一般数学领域福尔斯。 数论有其历史根源，在研究整个数字，解决这样的问题，如那些处理整除一个整数由另一个。它是数学中最古老的分支之一，几个世纪以来，人们纯粹出于美学的原因而追求它。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，通信系统。

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.