Mathematical Sciences: RUI: The Chinburg Conjecture with Even Class Numbers

数学科学：RUI：偶数类钦伯格猜想

• 批准号: 9106653
• 负责人: Thomas Schmidt
• 金额: $ 1.96万
• 依托单位: Widener University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-09-01 至 1994-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9106653&HistoricalAwards=false
• 关键词: Mathematical; Sciences; RUI; Chinburg; Conjecture

This RUI grant supports the research of Professor T. Schmidt. He will work on the Chinburg conjecture about the interplay between analytically defined invariants in a number field and the algebraic structure of the S-units in Quaternion extensions of the rationals. 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.

该RUI基金支持T. Schmidt教授的研究。他将研究Chinburg猜想，该猜想是关于数域中解析定义的不变量与有理数四元数扩展中s -单位的代数结构之间的相互作用。这是数论领域的研究。数论从整数和诸如整数能被整数整除之类的问题开始。它是数学中最古老的领域之一，最初纯粹出于审美原因而追求它。然而，在过去的半个世纪里，它已经成为开发计算机科学新算法和电子学新纠错码的重要工具。