Irreducible polynomials with several prescribed coefficients

DOI10.1016/j.ffa.2016.02.006zbMath1350.11106arXiv1601.06867OpenAlexW2253473721MaRDI QIDQ5890655

Junsoo Ha

Publication date: 19 May 2016

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

Full work available at URL: https://arxiv.org/abs/1601.06867

zbMATH Keywords

exponential sumsHansen-Mullen conjectureprescribed coefficients

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Exponential sums (11T23)

Related Items (12)

ON THE PRODUCT OF ELEMENTS WITH PRESCRIBED TRACE ⋮ Pseudorandom sequences derived from automatic sequences ⋮ Weight of irreducible polynomials with coefficients in a finite field ⋮ Prescribing coefficients of invariant irreducible polynomials ⋮ On divisors of sums of polynomials ⋮ On the enumeration of irreducible polynomials over \(\mathrm{GF}(q)\) with prescribed coefficients ⋮ The arithmetic of consecutive polynomial sequences over finite fields ⋮ New estimates and existence results about irreducible polynomials and self-reciprocal irreducible polynomials with prescribed coefficients over a finite field ⋮ Irreducible Polynomials Over a Finite Field with Restricted Coefficients ⋮ Squarefree polynomials with prescribed coefficients ⋮ A new proof of the Hansen-Mullen irreducibility conjecture ⋮ Factorization patterns on nonlinear families of univariate polynomials over a finite field

Cites Work

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• Prescribing the binary digits of primes. II
• Waring's problem in function fields
• Primitive Polynomials Over Finite Fields
• Generators and irreducible polynomials over finite fields
• Distribution of irreducible polynomials of small degrees over finite fields
• The expression of a polynomial as a sum of three irreducibles
• Irreducible polynomials with several prescribed coefficients

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