Random multiplicative functions in short intervals
Number Theory
2011-02-03 v2 Probability
Abstract
We consider random multiplicative functions taking the values . Using Stein's method for normal approximation, we prove a central limit theorem for the sum of such multiplicative functions in appropriate short intervals.
Cite
@article{arxiv.1011.4917,
title = {Random multiplicative functions in short intervals},
author = {Sourav Chatterjee and Kannan Soundararajan},
journal= {arXiv preprint arXiv:1011.4917},
year = {2011}
}
Comments
13 pages. To appear in Int. Math. Res. Notices