Author:
BRINGMANN KATHRIN,GUERZHOY PAVEL,KANE BEN
Abstract
AbstractIn 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.
Publisher
Cambridge University Press (CUP)
Reference24 articles.
1. Values ofL-series of modular forms at the center of the critical strip
2. F. Lemmermeyer Binary Quadratic Forms: An Elementary Approach to the Arithmetic of Elliptic and Hyperelliptic Curves. To appear in 2014.
3. Modular forms of half integral weight and the integral of certain theta-functions;Niwa;Nagoya Math. J.,1974
4. On construction of holomorphic cusp forms of half integral weight
5. From quadratic functions to modular functions;Zagier;Number Theory in Progress,1999
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