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Irreducible polynomials over a finite field with restricted coefficients (1711.06243v1)
Published 16 Nov 2017 in math.NT
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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