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arXiv · 1404.6837

On cycle integrals of weakly holomorphic modular forms

Kathrin Bringmann·Pavel Guerzhoy·Ben Kane
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Abstract

In this paper, we investigate cycle integrals of weakly holomorphic modular forms. We show that these integrals coincide with the cycle integrals of classical cusp forms. We use these results to define a Shintani lift from integral weight weakly holomorphic modular forms to half-integral weight holomorphic modular forms.

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Kathrin Bringmann, Pavel Guerzhoy, Ben Kane. 2014-04-27. On cycle integrals of weakly holomorphic modular forms. https://doi.org/10.1017/s0305004115000055

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