Mock theta functions and weakly holomorphic modular forms modulo 2 and 3
Number Theory
2019-02-20 v1
Abstract
We prove that the coefficients of certain mock theta functions possess no linear congruences modulo 3. We prove similar results for the moduli 2 and 3 for a wide class of weakly holomorphic modular forms and discuss applications. This extends work of Radu on the behavior of the ordinary partition function modulo 2 and 3.
Keywords
Cite
@article{arxiv.1306.4386,
title = {Mock theta functions and weakly holomorphic modular forms modulo 2 and 3},
author = {Scott Ahlgren and Byungchan Kim},
journal= {arXiv preprint arXiv:1306.4386},
year = {2019}
}
Comments
19 pages