Journal of Integer Sequences, Vol. 23 (2020), Article 20.8.6

A Polynomial Variant of Perfect Numbers


Luis H. Gallardo and Olivier Rahavandrainy
UMR CNRS 6205
Laboratoire de Mathématiques de Bretagne Atlantique
6, Av. Le Gorgeu
C.S. 93837
Cedex 3, F-29238 Brest
France

Abstract:

We study the binary polynomials A such that the sum of all their divisors D ≠ A is a perfect polynomial, and A is a power of an irreducible polynomial.

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(Concerned with sequences A001037 A001122 A071642.)

Received February 29 2020; revised versions received August 3 2020; August 4 2020; September 3 2020; October 2 2020. Published in Journal of Integer Sequences, October 11 2020.

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