On perfect polynomials over \(\mathbb{F}_p\) with \(p\) irreducible factors

DOI10.4171/PM/1918zbMATH Open1335.11101OpenAlexW2028800399MaRDI QIDQ1941294

Olivier Rahavandrainy, Luis Gallardo

Publication date: 12 March 2013

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/pm/1918

zbMATH Keywords

finite fieldscharacteristic \(p\)polynomialssum of divisors

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Arithmetic theory of polynomial rings over finite fields (11T55)

Cites Work

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• Title not available (Why is that?)
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• On even (unitary) perfect polynomials over \(\mathbb F_2\)
• There is no odd perfect polynomial over \(\mathbb F_{2}\) with four prime factors
• On consecutive quadratic non-residues: a conjecture of Issai Schur.
• Perfect polynomials over \(\mathbb F_4\) with less than five prime factors
• On a conjecture of Beard, O'Connell and West concerning perfect polynomials
• Odd perfect polynomials over \(\mathbb F_2\)
• The sum of the divisors of a polynomial

Related Items (4)

On splitting perfect polynomials over \(\mathbb F_{p^2}\) ⋮ Title not available (Why is that?) ⋮ On perfect polynomials over \(\mathbb F_4\) ⋮ Fixed points of the sum of divisors function on \({{\mathbb{F}}}_2[x\)]

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