Sums of random multiplicative functions over function fields with few irreducible factors
Number Theory
2022-07-26 v2
Abstract
We establish a normal approximation for the limiting distribution of partial sums of random Rademacher multiplicative functions over function fields, provided the number of irreducible factors of the polynomials is small enough. This parallels work of Harper for random Rademacher multiplicative functions over the integers.
Cite
@article{arxiv.2108.08232,
title = {Sums of random multiplicative functions over function fields with few irreducible factors},
author = {Daksh Aggarwal and Unique Subedi and William Verreault and Asif Zaman and Chenghui Zheng},
journal= {arXiv preprint arXiv:2108.08232},
year = {2022}
}
Comments
10 pages. Simplification of the proof of Lemma 5 and typos corrected, one reference added