Mathematical Sciences: Arithmetic Theory of Integral Quadratic Forms

数学科学：积分二次型算术理论

• 批准号: 9208501
• 负责人: John Hsia
• 金额: --
• 依托单位: Ohio State University Research Foundation -DO NOT USE
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1992
• 资助国家: 美国
• 起止时间: 1992-07-01 至 1994-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9208501&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Arithmetic; Theory; Integral

This grant supports the research of Professor J. Hsia to work on problems in number theory. Professor Hsia will continue to work on the arithmetic of integral quadratic forms. In particular, he will work on the representation theory of positive definite quadratic forms. He also intends to continue his study of an Iwasawa type theory for spinor genera. 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.

这项拨款支持夏教授的研究工作， 关于数论的问题 夏教授将继续工作 关于积分二次型的算术 他特别 将致力于正定的表示理论 二次型 他还打算继续研究 旋量属的岩泽型理论。 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。