Incongruences for modular forms and applications to partition functions
Number Theory
2019-10-17 v1
Abstract
The study of arithmetic properties of coefficients of modular forms has a rich history, including deep results regarding congruences in arithmetic progressions. Recently, work of C.-S. Radu, S. Ahlgren, B. Kim, N. Andersen, and S. L\"{o}brich have employed the -expansion principle of P. Deligne and M. Rapoport in order to determine more about where these congruences can occur. Here, we extend the method to give additional results for a large class of modular forms. We also give analogous results for generalized Frobenius partitions and the two mock theta functions and
Cite
@article{arxiv.1910.07051,
title = {Incongruences for modular forms and applications to partition functions},
author = {Sharon Garthwaite and Marie Jameson},
journal= {arXiv preprint arXiv:1910.07051},
year = {2019}
}
Comments
14 pages