与定二次型相关的高次符号定多元多项式
On some higher degree sign-definite multivariate polynomials associated with definite quadratic forms
摘要：
正和负二次型是众所周知的并被广泛使用。它们是二阶多变量齐次多项式，对于它们的自变量不全为零的任何值分别取正值或负值。在本文中，一个特定的高次多项式与每个二次型相关联，使得该形式是明确的当且仅当这个多项式是符号明确的。
英文摘要：
Positive and negative quadratic forms are well known and widely used. They are multivariate homogeneous polynomials of degree two taking positive or negative values respectively for any values of their arguments not all zero. In the present paper a certain higher degree polynomial is associated with each quadratic form such that the form is definite if and only if this polynomial is sign-definite.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
