Sums of random multiplicative functions over function fields with few irreducible factors
arXiv:2108.08232 · doi:10.1017/S030500412200010X
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.
10 pages. Simplification of the proof of Lemma 5 and typos corrected, one reference added