Abstract

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.

Degree

MS

College and Department

Physical and Mathematical Sciences; Mathematics

Rights

http://lib.byu.edu/about/copyright/

Date Submitted

2013-07-02

Document Type

Thesis

Handle

http://hdl.lib.byu.edu/1877/etd6389

Keywords

Modular Forms, Half Integral Weight, L-Functions, Shimura Lift, Zagier Lift, Number Theory

Included in

Mathematics Commons

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