On the Number of Eisenstein Polynomials of Bounded Height
Number Theory
2017-07-12 v1
Abstract
We obtain a more precise version of an asymptotic formula of A. Dubickas for the number of monic Eisenstein polynomials of fixed degree and of height at most , as . In particular, we give an explicit bound for the error term. We also obtain an asymptotic formula for arbitrary Eisenstein polynomials of height at most .
Cite
@article{arxiv.1302.6094,
title = {On the Number of Eisenstein Polynomials of Bounded Height},
author = {Randell Heyman and Igor E. Shparlinski},
journal= {arXiv preprint arXiv:1302.6094},
year = {2017}
}