Mathematical Sciences: Applications of Rankin-Selberg Convolutions to Automorphic Forms and Number Theory

数学科学：Rankin-Selberg 卷积在自同构形式和数论中的应用

• 批准号: 9322150
• 负责人: Jeffrey Hoffstein
• 金额: $ 11.37万
• 依托单位: Brown University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-06-01 至 1997-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9322150&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Applications; Rankin; Selberg

Hoffstein This award funds the work of Professor Jeffrey Hoffstein in the theory of automorphic forms. Professor Hoffstein will study twists of forms. These ideas promise a new approaches to several open problems in classical analytic number theory. This research falls under the general heading of Number Theory. Number Theory is the study of the properties of the whole numbers and is the oldest branch of mathematics. From the beginning problems in number theory have furnished the driving force to creation of new mathematics in almost all parts of the discipline. One of the philosophies of modern number theory is that many facts about numbers can be studied using calculus. This approach is very evident in the theory of automorphic forms. This kind of number theory is very technical and deep, but it has had astonishing applications in areas like theoretical computer science and coding theory. ***

霍夫施泰因 该奖项资助杰弗里·霍夫斯坦教授在自守形式理论方面的工作。霍夫斯坦教授将研究扭曲的形式。 这些思想为解决经典解析数论中的几个开放问题提供了新的途径。 这项研究福尔斯属于数论的总标题。数论是研究整数的性质，是数学最古老的分支。从一开始，数论中的问题就为这门学科的几乎所有部分的新数学的创造提供了动力。现代数论的哲学之一是，许多关于数字的事实可以用微积分来研究。 这种方法在自守形式理论中非常明显。 这种数论非常技术性和深刻，但它在理论计算机科学和编码理论等领域有着惊人的应用。***