A modularity criterion for Klein forms, with an application to modular forms of level $13$
Number Theory
2010-08-04 v3
Abstract
We find some modularity criterion for a product of Klein forms of the congruence subgroup and, as its application, construct a basis of the space of modular forms for of weight . In the process we face with an interesting property about the coefficients of certain theta function from a quadratic form and prove it conditionally by applying Hecke operators.
Cite
@article{arxiv.1006.1469,
title = {A modularity criterion for Klein forms, with an application to modular forms of level $13$},
author = {Ick Sun Eum and Ja Kyung Koo and Dong Hwa Shin},
journal= {arXiv preprint arXiv:1006.1469},
year = {2010}
}