A ${\mathbb N}$atural Avenue
Number Theory
2023-01-10 v2 Mathematical Physics
Combinatorics
Logic
math.MP
Abstract
We consider an infinite sequence of rooted trees naturally emerging in a number-theoretical context. We advance some ideas on its structure by discussing some elementary properties. Some of those properties are shown to be related to classical results or conjectures in number theory.
Keywords
Cite
@article{arxiv.2204.08982,
title = {A ${\mathbb N}$atural Avenue},
author = {Roberto Conti and Pierluigi Contucci},
journal= {arXiv preprint arXiv:2204.08982},
year = {2023}
}
Comments
12 pages, including 4 figures. v2: added new results; other minor changes