Integral traces of weak Maass forms of genus zero odd prime level

2013/07/08 by Nathan Green, Green, Nathan, Paul Jenkins +1
Mathematics · #11F30 #11F37 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11F30 #msc:11F37

paper · pdf · doi:10.48550/arxiv.1307.2204

arxiv created 2013/07/08 · arxiv updated 2013/07/09

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.

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