Distribution of irreducible polynomials of small degrees over finite fields

DOI10.1090/S0025-5718-98-00904-1zbMath0917.11060MaRDI QIDQ4372700

Gary L. Mullen, Kie H. Ham

Publication date: 16 December 1997

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

finite fielddistribution of irreducible polynomials

Mathematics Subject Classification ID

Polynomials over finite fields (11T06)

Related Items (19)

Decompositions of matrices into diagonalizable and square-zero matrices ⋮ The extended covering number of \(\text{SL}_n\) is \(n+1\). ⋮ ON THE PRODUCT OF ELEMENTS WITH PRESCRIBED TRACE ⋮ Prescribing coefficients of invariant irreducible polynomials ⋮ Covering GL(V) and products of blockcyclic matrices ⋮ On the number of \(N\)-free elements with prescribed trace ⋮ The arithmetic of consecutive polynomial sequences over finite fields ⋮ Self-reciprocal irreducible polynomials with prescribed coefficients ⋮ On the Hansen-Mullen conjecture for self-reciprocal irreducible polynomials ⋮ Irreducible polynomials over GF(2) with prescribed coefficients. ⋮ Irreducible polynomials with several prescribed coefficients ⋮ A note on the Hansen-Mullen conjecture for self-reciprocal irreducible polynomials ⋮ Irreducible polynomials with consecutive zero coefficients ⋮ Irreducible polynomials with several prescribed coefficients ⋮ Primitive polynomials with a prescribed coefficient ⋮ A new proof of the Hansen-Mullen irreducibility conjecture ⋮ A generalization of the Hansen-Mullen conjecture on irreducible polynomials over finite fields ⋮ Explicit theorems on generator polynomials ⋮ On certain diagonal equations over finite fields

Cites Work

• Primitive elements and polynomials with arbitrary trace
• Primitive Polynomials Over Finite Fields
• The coefficients of primitive polynomials over finite fields
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