Maass wave forms, quantum modular forms and Hecke operators
Number Theory
2018-12-05 v2
Abstract
We prove that Cohen's Maass wave form and Li-Ngo-Rhoades' Maass wave form are Hecke eigenforms with respect to certain Hecke operators. As a corollary, we find new identities of the th coefficients of these Maass wave forms in terms of th root of unities.
Keywords
Cite
@article{arxiv.1804.10773,
title = {Maass wave forms, quantum modular forms and Hecke operators},
author = {Seewoo Lee},
journal= {arXiv preprint arXiv:1804.10773},
year = {2018}
}
Comments
20 pages, 1 figures