Arithmetic of L-Values

L 值的算术

• 批准号: 9401553
• 负责人: Glenn Stevens
• 金额: --
• 依托单位: Trustees of Boston 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: 1994-07-01 至 1998-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9401553&HistoricalAwards=false
• 关键词: Arithmetic; Values

9401553 Stevens This award funds the research of Prof. Glenn Stevens into connections between Number Theory and Algebraic Geometry. In particular Prof. Stevens will study the arithmetic properties of modular symbols. He also hopes to make progress in the understanding of the exceptional zero conjecture of Mazur, Tate and Teitelbaum from higher rank and from higher weight. This is research in the field of number theory. Number theory is basically the study of whole numbers. The research done under this award studies properties of the whole numbers by encoding them into functions called modular forms. Number theory is among the oldest fields of mathematics, yet it has always played an important role in choosing directions for the rest of the subject. Within the last half century, the study of whole numbers has become doubly important as the theory has been used to develop new algorithms for computer science and to construct new error correcting codes for electronics.

9401553史蒂文斯该奖项资助格伦史蒂文斯教授的研究到数论和代数几何之间的联系。特别是教授史蒂文斯将研究模块符号的算术特性。他还希望在理解Mazur，Tate和Teitelbaum的特殊零猜想方面取得进展，从更高的级别和更高的权重。这是数论领域的研究。数论基本上是对整数的研究。在该奖项下完成的研究通过将整数编码成称为模形式的函数来研究整数的性质。数论是数学中最古老的领域之一，但它在选择其他学科的方向方面一直发挥着重要作用。在过去的半个世纪，研究整数已成为双重重要的理论已被用来开发新的算法，计算机科学和构造新的纠错码的电子。