Non-Standard Limit Theorems in Number Theory
Probability
2010-10-18 v2 Number Theory
Abstract
We present a limit theorem describing the behavior of a probabilistic model for square-free numbers. The limiting distribution has a density that comes from the Dickman-De Bruijn function and is constant on the interval . We also provide estimates concerning the error term in the limit theorem.
Cite
@article{arxiv.1010.0035,
title = {Non-Standard Limit Theorems in Number Theory},
author = {Francesco Cellarosi and Yakov G. Sinai},
journal= {arXiv preprint arXiv:1010.0035},
year = {2010}
}
Comments
12 pages