On discriminant-like polynomials
type: Item
instance of: scholarly article
title: On discriminant-like polynomials
zbMATH Open document ID: 0584.12021
DOI: 10.1016/0024-3795(86)90189-8
published in: Linear Algebra and its Applications
publication date: 1986-01-01T00:00:00Z
review text: The authors studies the homogeneous polynomials \(p(x_ 1,...,x_ n)\) with the property \(p(x_ 1+1,...,x_ n+1)=p(x_ 1,...,x_ n)\), the coefficient ring being a field of characteristic zero. A standard example of such a polynomial is the discriminant of a polynomial in one indeterminate. Many interesting properties are established for polynomials which satisfy the above property and two additional conditions. The proofs use linear algebra methods. The paper includes several consistent examples.
Mathematics Subject Classification ID: 12E10
Mathematics Subject Classification ID: 15A15
zbMATH DE Number: 3935167
zbMATH Keywords: homogeneous polynomials
zbMATH Keywords: discriminant
author: Roberto A. Mena
MaRDI profile type: Publication
full work available at URL: 0024-3795(86)90189-8
OpenAlex ID: W2077476587
cites work: Q5845916
description: scientific article; zbMATH DE number 3935167