Mathematical Sciences: Constant Term Identities and Combinatorial Enumeration

数学科学：常数项恒等式和组合枚举

• 批准号: 8800663
• 负责人: Doron Zeilberger
• 金额: $ 6.28万
• 依托单位: Drexel University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-07-01 至 1991-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8800663&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Constant; Term; Identities

This project is about constant term identities, combinatorial enumeration, and their interaction. Four areas of research will be pursued: constant term identities; multi-variate integrals and their q-analogs; enumeration of certain arrays of integers; and uses of constant term identities in proving the Mills-Robbins-Rumsey conjectures. This project involves the use of computers in attempts to resolve some of the problems. The problems are also of interest in several areas outside of combinatorics, such as hypergeometric series, Lie theory, and cyclic homology.

这个项目是关于常数项恒等式的 组合枚举及其相互作用。 四个领域 研究将继续进行：常数项恒等式;多变量 积分及其q-类似物;某些数组的枚举 整数;以及常数项恒等式在证明 Mills-Robbins-拉姆西律师事务所 这个项目涉及使用计算机，试图 解决一些问题。 这些问题也很有趣 在组合学之外的几个领域，如超几何， 系列，李理论，和循环同调。