Some multiplicative functions over $\mathbb{F}_2$
Number Theory
2023-01-16 v1
Abstract
We adapt (over ) 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.
Cite
@article{arxiv.2301.05248,
title = {Some multiplicative functions over $\mathbb{F}_2$},
author = {Luis H. Gallardo and Olivier Rahavandrainy},
journal= {arXiv preprint arXiv:2301.05248},
year = {2023}
}