A Short Note on the Bruinier-Kohnen Sign Equidistribution Conjecture and Hal\'asz' Theorem
Number Theory
2015-08-19 v3
Abstract
In this note, we improve earlier results towards the Bruinier-Kohnen sign equidistribution conjecture for half-integral weight modular eigenforms in terms of natural density by using a consequence of Hal\'asz' Theorem. Moreover, applying a result of Serre we remove all unproved assumptions.
Keywords
Cite
@article{arxiv.1408.2210,
title = {A Short Note on the Bruinier-Kohnen Sign Equidistribution Conjecture and Hal\'asz' Theorem},
author = {Ilker Inam and Gabor Wiese},
journal= {arXiv preprint arXiv:1408.2210},
year = {2015}
}
Comments
4 pages, main result made unconditional, minor changes due to referee's reports