A structure theorem in probabilistic number theory
Number Theory
2011-09-02 v1 Probability
Abstract
We prove that if two additive functions (from a certain class) take large values with roughly the same probability then they must be identical. This is a consequence of a structure theorem making clear the inter-relation between the distribution of an additive function on the integers, and its distribution on the primes.
Cite
@article{arxiv.1109.0033,
title = {A structure theorem in probabilistic number theory},
author = {Maksym Radziwill},
journal= {arXiv preprint arXiv:1109.0033},
year = {2011}
}
Comments
10 pages