On the number of primes for which a polynomial is Eisenstein
Number Theory
2019-01-28 v1
Abstract
Previously Heyman and Shparlinski gave an asymptotic formula with error term for the number of Eisenstein polynomials of fixed degree and bounded height. Let denote the number of primes for which a polynomial is Eisenstein. We give expressions for the mean and variance of the function for each fixed degree, where the polynomials are ordered according to their height.
Cite
@article{arxiv.1901.09014,
title = {On the number of primes for which a polynomial is Eisenstein},
author = {Shilin Ma and Kevin McGown and Devon Rhodes and Mathias Wanner},
journal= {arXiv preprint arXiv:1901.09014},
year = {2019}
}