On the average value of the minimal Hamming multiple
Number Theory
2024-12-17 v1
Abstract
We find a nontrivial upper bound on the average value of the function M(n) which associates to every positive integer n the minimal Hamming weight of a multiple of n. Some new results about the equation M(n)=M(n') are given.
Cite
@article{arxiv.2412.10839,
title = {On the average value of the minimal Hamming multiple},
author = {Eugen J. Ionascu and Florian Luca and Thomas Merino},
journal= {arXiv preprint arXiv:2412.10839},
year = {2024}
}
Comments
17 pages, 1 figure