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arXiv · 1711.06243

Irreducible polynomials over a finite field with restricted coefficients

Sam Porritt
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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.

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Sam Porritt. 2017-11-16. Irreducible polynomials over a finite field with restricted coefficients. https://doi.org/10.4153/cmb-2018-027-x

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