天津师范大学学报（自然科学版）2025，Vol.45Issue(3)：15-18,34,5.DOI:10.19638/j.issn1671-1114.20250303
关于二次型项数问题的研究
Study on number of terms of quadratic forms
摘要
Abstract
The numbers of non-zero terms of quadratic forms under non-degenerate linear substitution was considered.By us-ing the inertia index and the similarity and congruence of matrix,the value range of the number of terms over the complex number field and the real number field were obtained,and the standard form of the quadratic form when the number of terms is the minimum was given.关键词
二次型/非退化线性替换/惯性指数/合同/标准形Key words
quadratic form/non-degenerate linear substitution/inertia index/congruence/standard form分类
数学引用本文复制引用
申晨旭,胡志广..关于二次型项数问题的研究[J].天津师范大学学报（自然科学版）,2025,45(3):15-18,34,5.基金项目
国家自然科学基金资助项目(12131012) （12131012）
天津师范大学研究生科研创新资助项目(2022KYCX113Y). （2022KYCX113Y）
