2 papers
math.NT2025
Tree asymptotic densities in number theory
Roberto Conti, Pierluigi Contucci, Vitalii Iudelevich
We study the asymptotic distribution of integers sharing the same rooted-tree structure that encodes their complete prime factorization tower. For each tree we derive an explicit d…
math.NT2024
Bounds on tree distribution in number theory
Roberto Conti, Pierluigi Contucci, Vitalii Iudelevich
The occurrence and the distribution of patterns of trees associated to natural numbers are investigated. Bounds from above and below are proven for certain natural quantities.