New estimates for the number of integer polynomials with given discriminants

Authors

Natalia Budarina, Dundalk Institute of Technology
Vasilii Bernik, Institute of Mathematics, Minsk
Hugh O'Donnell, Technological University DublinFollow

Document Type

Article

Rights

Available under a Creative Commons Attribution Non-Commercial Share Alike 4.0 International Licence

Disciplines

1.1 MATHEMATICS

Publication Details

Lithuanian Mathematical Journal

Abstract

In this paper, we propose a new method of upper bounds for the number of integer polynomials of the fourth degree with a given discriminant. By direct calculation similar results were established by H. Davenport and D. Kaliada for polynomials of second and third degrees.

DOI

https://doi.org/10.1007/s10986-019-09455-8

Recommended Citation

Budarina, Natalia; Bernik, Vasilii; and O'Donnell, Hugh, "New estimates for the number of integer polynomials with given discriminants" (2020). Articles. 89.
https://arrow.tudublin.ie/ittsciart/89