Duke and Jenkins 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.
College and Department
Physical and Mathematical Sciences; Mathematics
BYU ScholarsArchive Citation
Green, Nathan Eric, "Integral Traces of Weak Maass Forms of Genus Zero Odd Prime Level" (2013). Theses and Dissertations. 4161.
Modular Forms, Half Integral Weight, L-Functions, Shimura Lift, Zagier Lift, Number Theory