Algorithmic Number Theory Symposium III

9801395布勒该奖项支持将于1998年6月在里德学院举行的为期五天的算法数论国际会议。这是算法数论研讨会(ANTS)系列中的第三次会议。组织蚂蚁会议不仅是为了鼓励与数论相关的通常类型的数字运算，而且也是为了鼓励一些较新的方面，包括代数数论和几何，在其他领域的应用，如密码学，以及计算复杂性的理论研究。20年前，这些想法中的许多对数字理论家来说似乎是非常陌生的，但它们日益增长的重要性导致了人们普遍认为有必要召开一次完全致力于算法问题的会议，无论是实践上的还是理论上的。这次会议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、密码学和通信系统等领域的各种应用中不可或缺的工具。

9801395 Buhler This award supports a five-day international conference on algorithmic number theory to be held at Reed College in June 1998. This is the third conference in the Algorithmic Number Theory Symposia (ANTS) series. The ANTS conferences were organized to encourage not only the usual kind of number-crunching associated with number theory, but also some of the newer aspects, including algebraic number theory and geometry, applications to other fields such as cryptography, and theoretical investigations of computational complexity. Twenty years ago many of these ideas would have seemed very foreign to number theorists, but their increasing importance has led to a widely perceived need for a conference devoted entirely to algorithmic concerns, both practical and theoretical. This conference 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, cryptography, and communication systems.