Counting perfect polynomials

DOI10.1016/j.ffa.2017.05.006zbMath1409.11132OpenAlexW2736181704MaRDI QIDQ2401967

Paul Pollack, Enrique Treviño, U. Caner Cengiz

Publication date: 5 September 2017

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2017.05.006

zbMATH Keywords

sum-of-divisorsone-ringperfect polynomial

Mathematics Subject Classification ID

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

Related Items (5)

Unnamed Item ⋮ On the index of special perfect polynomials ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Fixed points of the sum of divisors function on \({{\mathbb{F}}}_2[x\)]

Cites Work

• Unnamed Item
• Über die Häufigkeit vollkommener Zahlen
• Revisiting Gauss's analogue of the prime number theorem for polynomials over a finite field
• There is no odd perfect polynomial over \(\mathbb F_{2}\) with four prime factors
• 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

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