Mathematical Sciences: Number Theory and Allied Topics

数学科学：数论及相关主题

• 批准号: 9206993
• 负责人: George Andrews
• 金额: $ 35.37万
• 依托单位: Pennsylvania State Univ University Park
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1992
• 资助国家: 美国
• 起止时间: 1992-07-01 至 1997-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9206993&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Number; Theory; Allied

This grant supports the research of Professor G. Andrews as principal investigator and Professor D. Brownawell as co-principal investigator. Professor Andrews will work on problems in additive number theory. In particular, he will concentrate on various conjectures arising from partition theory. Professor Brownawell will work on problems arising from Diophantine approximation and transcendental number theory in particular problems arising from Drinfeld modules. This is research in the field of number theory. Number theory starts with the whole numbers and questions such as the divisibility of one whole number by another. It is among the oldest fields of mathematics and it was originally pursued for purely aesthetic reasons. However, within the last half century, it has become an essential tool in developing new algorithms for computer science and new error correcting codes for electronics.

该基金支持G教授的研究。安德鲁斯作为 首席研究员和教授D. Brownawell作为共同负责人 调查员 安德鲁斯教授将致力于研究加法 数论 特别是，他将专注于各种 由划分理论引起的猜想。 布朗纳维尔教授 将致力于解决丢番图近似问题， 超越数论中的特殊问题， Drinfeld模块。 这是数论领域的研究。 Number 理论开始于整数和问题，如 一个整数被另一个整数整除。 它是其中的 最古老的数学领域，它最初是追求 纯粹的美学原因。 然而，在过去的半个世纪里， 它已经成为开发新算法的重要工具， 计算机科学和新的电子纠错码。