Mathematical Sciences: Sums of Powers of Linear Forms

数学科学：线性形式的幂和

• 批准号: 9002435
• 负责人: Bruce Reznick
• 金额: $ 5.87万
• 依托单位: University of Illinois at Urbana-Champaign
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1990
• 资助国家: 美国
• 起止时间: 1990-05-15 至 1992-10-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9002435&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Sums; Powers; Linear

This project is concerned with research on extremal forms. The principal investigator will study sums of d-th powers of linear forms over the fields of real and complex numbers as well as situations when positive semi-definite forms need not be sums of squares of forms. This research concerns the study of real positive semi- definite forms. It involves interplay among algebra, inequalities and geometry.

这个项目是关于极值形式的研究。主要研究人员将研究实数和复数域上线性形式的d次方和，以及半正定形式不必是形式平方和的情况。本研究涉及实半正定式的研究。它涉及到代数、不等式和几何之间的相互作用。