A generalization of the Hansen-Mullen conjecture on irreducible polynomials over finite fields

DOI10.1016/j.ffa.2011.09.003zbMath1255.11060OpenAlexW2000061862WikidataQ123025083 ScholiaQ123025083MaRDI QIDQ765803

Daniel Panario, Georgios Tzanakis

Publication date: 22 March 2012

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2011.09.003

zbMATH Keywords

finite fieldsirreducible polynomialsHansen-Mullen conjectureDirichlet characters

Mathematics Subject Classification ID

Polynomials over finite fields (11T06)

Related Items (8)

ON THE PRODUCT OF ELEMENTS WITH PRESCRIBED TRACE ⋮ Prescribing coefficients of invariant irreducible polynomials ⋮ New estimates and existence results about irreducible polynomials and self-reciprocal irreducible polynomials with prescribed coefficients over a finite field ⋮ On the Hansen-Mullen conjecture for self-reciprocal irreducible polynomials ⋮ Squarefree polynomials with prescribed coefficients ⋮ Irreducible polynomials with several prescribed coefficients ⋮ A new proof of the Hansen-Mullen irreducibility conjecture ⋮ The number of irreducible polynomials over finite fields of characteristic 2 with given trace and subtrace

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