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Preprints, Working Papers, ... Year : 2023

Some multiplicative functions over $\mathbb{F}_2$

Abstract

We adapt (over $\mathbb{F}_2$) the general notions of multiplicative function, Dirichlet convolution and Inverse. We get some interesting results, namely necessary conditions for an odd binary polynomial to be perfect. Note that we are inspired by the "analogous" works in \cite{Gall-Rahav-newcongr} and \cite{Touchard}, about odd perfect numbers.

Dates and versions

hal-04337066 , version 1 (12-12-2023)

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Luis H. Gallardo, Olivier Rahavandrainy. Some multiplicative functions over $\mathbb{F}_2$. 2023. ⟨hal-04337066⟩

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