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math.NT2016★ 2 cited
Irreducible polynomials with prescribed sums of coefficients
Aleksandr Tuxanidy, Qiang Wang
Let be a power of a prime, let be the finite field with elements and let . For a polynomial of degree …
math.NT2016★ 3 cited
A new proof of the Hansen-Mullen irreducibility conjecture
Aleksandr Tuxanidy, Qiang Wang
We give a new proof of the Hansen-Mullen irreducibility conjecture. The proof relies on an application of a (seemingly new) sufficient condition for the existence of elements of de…