Integral traces of weak Maass forms of genus zero odd prime level
Number Theory
2013-07-09 v1
Abstract
Duke and the second author defined a family of linear maps from spaces of weakly holomorphic modular forms of negative integral weight and level 1 into spaces of weakly holomorphic modular forms of half integral weight and level 4 and showed that these lifts preserve the integrality of Fourier coefficients. We show that the generalization of these lifts to modular forms of genus 0 odd prime level also preserves the integrality of Fourier coefficients.
Keywords
Cite
@article{arxiv.1307.2204,
title = {Integral traces of weak Maass forms of genus zero odd prime level},
author = {Nathan Green and Paul Jenkins},
journal= {arXiv preprint arXiv:1307.2204},
year = {2013}
}