Discriminants of polynomials in the Archimedean and non-Archimedean metrics

Authors

Vasili Bernick, Institute of Mathematics, Minsk, Belarus
Natalia Budarina, Dundalk Institute of TechnologyFollow
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

Acta Mathematica Hungarica

Abstract

An upper bound for the number of cubic polynomials which have small discriminant in terms of the Euclidean and p-adic metrics simultaneously is obtained.

DOI

https://doi.org/10.1007/s10474-018-0794-y

Recommended Citation

Bernik, V., Budarina, N. & O’Donnell, H. Discriminants of polynomials in the Archimedean and non-Archimedean metrics. Acta Math. Hungar. 154, 265–278 (2018). DOI: 10.1007/s10474-018-0794-y