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arXiv · 1507.02753

The Density of Shifted and Affine Eisenstein Polynomials

Giacomo Micheli·Reto Schnyder
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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 $\mathbb Z$-module of finite rank.

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BibTeXRIS

Giacomo Micheli, Reto Schnyder. 2015-07-10. The Density of Shifted and Affine Eisenstein Polynomials. https://doi.org/10.1090/proc/13097

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