Mathematical Sciences: Fourier Coefficients of Metaplectic Forms

数学科学：元波形式的傅立叶系数

• 批准号: 9400882
• 负责人: Daniel Lieman
• 金额: $ 6.87万
• 依托单位: Columbia University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-07-01 至 1997-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9400882&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Fourier; Coefficients; Metaplectic

9400882 Lieman This award funds the research of Professor Daniel Lieman on properties of zeta functions of specific elliptic curves. This work is in keeping with a major theme in modern number theory, that discrete geometric information can be studied analytically. This approach seems to be very effective for problems in number theory, particularly diophantine problems. This work falls in the general area of Number Theory. Number Theory is the study of properties of the whole numbers and is the oldest branch of systematic mathematics. Number theorists often study diophantine problems where equations are required to have exact numerical solutions. In modern days, these diophantine problems have furnished the driving force to creation of new theories in many other parts of mathematics. Recently Number Theory and diophantine methods have found astonishing applications in theoretical computer science and communication.

小行星9400882 该奖项资助了丹尼尔利曼教授对特定椭圆曲线zeta函数性质的研究。 这项工作符合现代数论的一个主要主题， 离散的几何信息可以通过分析来研究。 这种方法似乎是非常有效的数论问题，特别是丢番图问题。 这项工作属于一般领域的福尔斯数论。 数论是研究整数的性质，是系统数学中最古老的分支。数论学家经常研究丢番图问题，其中方程需要有精确的数值解。在现代，这些丢番图问题已经为数学的许多其他部分的新理论的产生提供了动力。最近数论和丢番图方法在理论计算机科学和通信中发现了惊人的应用。