Year: 2026
Type: article
Abstract: The aim of this paper is to introduce and study two classes of cubic real polynomials P having the same Euclidean norm as their Cardano resolvent respectively having the square of the Euclidean norm equal to the height of the Cardano resolvent. The polynomial P is giving in its reduced form which means without the cubic term. We find three one-parameter families of polynomials in the first class. For the second class of polynomials we discuss some cases.
Author: Mircea Crasmareanu
Institution: Alexandru Ioan Cuza University
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $3,390
OpenAlex ID: W7150932643