The Density of Shifted and Affine Eisenstein Polynomials

Autor: Micheli, Giacomo, Schnyder, Reto
Rok vydání: 2015
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1090/proc/13097
Popis: 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.
Databáze: arXiv