Mathematical Sciences: Analytic Methods for Automorphic Forms

数学科学：自守形式的分析方法

• 批准号: 8902992
• 负责人: Henryk Iwaniec
• 金额: $ 15.83万
• 依托单位: Rutgers University New Brunswick
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1989
• 资助国家: 美国
• 起止时间: 1989-06-01 至 1992-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8902992&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Analytic; Methods; Automorphic

Professor Iwaniec and his postdoctoral associate Dr. Duke will use the methods of Analytic Number Theory to investigate modular and automorphic forms; in particular, Dr. Iwaniec will continue his longterm project of refining the theory of modular forms by means of exponential and character sums. The field of Analytic Number Theory applies to the discrete realm of the whole numbers the techniques of Analysis, dependent on the notions of Continuity and Limit, originating in Calculus. The idea of using continuous methods to investigate the Discrete is two centuries old, but with the work of the modern analytic number theorists such as Professor Iwaniec, the field has had a new rebirth.

伊万涅茨教授和他的博士后同事杜克博士 将使用解析数论的方法来研究 模块化和自守形式;特别是，Iwaniec博士将 继续他的长期项目， 形式的指数和字符的总和。 解析数论的领域适用于离散的 分析的技术，依赖于 关于连续性和极限的概念，起源于微积分。 用连续方法研究离散问题的思想 已经有两个世纪的历史了，但是随着现代分析学家的工作， 数论学家，如Iwaniec教授，该领域已经有了一个 新生