Irreducible polynomials over a finite field with restricted coefficients
Number Theory
2019-08-15 v1
Abstract
We prove a function field analogue of Maynard's result about primes with restricted digits. That is, for certain ranges of parameters n and q, we prove an asymptotic formula for the number of irreducible polynomials of degree n over a finite field F_q whose coefficients are restriced to lie in a given subset of F_q.
Keywords
Cite
@article{arxiv.1711.06243,
title = {Irreducible polynomials over a finite field with restricted coefficients},
author = {Sam Porritt},
journal= {arXiv preprint arXiv:1711.06243},
year = {2019}
}
Comments
10 pages