The Density of Shifted and Affine Eisenstein Polynomials
Number Theory
2019-02-13 v1
Abstract
In this paper we provide a complete answer to a question by Heyman and Shparlinski concerning the natural density of polynomials which are irreducible by Eisenstein's criterion after applying some shift. The main tool we use is a local to global principle for density computations over a free -module of finite rank.
Keywords
Cite
@article{arxiv.1507.02753,
title = {The Density of Shifted and Affine Eisenstein Polynomials},
author = {Giacomo Micheli and Reto Schnyder},
journal= {arXiv preprint arXiv:1507.02753},
year = {2019}
}