A simple proof of Zagier duality for Hilbert modular forms
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- Proc. Amer. Math. Soc. 134 (2006), 3445-3447 Request permission
Abstract:
In this paper, we give a simple proof of an identity between the Fourier coefficients of the weakly holomorphic modular forms of weight $0$ arising from Borcherds products of Hilbert modular forms and those of the weakly holomorphic modular forms of weight $2$ satisfying a certain property.References
- Jan Hendrik Bruinier and Michael Bundschuh, On Borcherds products associated with lattices of prime discriminant, Ramanujan J. 7 (2003), no. 1-3, 49–61. Rankin memorial issues. MR 2035791, DOI 10.1023/A:1026222507219
- J. Rouse, Zagier duality for the exponents of Borcherds products for Hilbert modular forms, to appear in Journal of the London Mathematical Society.
Additional Information
- D. Choi
- Affiliation: Department of Mathematics, Pohang University of Science and Technology, Pohang, 790–784, Korea
- Address at time of publication: School of Mathematics, KIAS, 207-43 Cheongnyangni 2-dong, Seoul, 130-722, Korea
- MR Author ID: 784974
- Email: choija@postech.ac.kr
- Received by editor(s): June 8, 2005
- Received by editor(s) in revised form: July 3, 2005
- Published electronically: June 9, 2006
- Additional Notes: This work was partially supported by KOSEF R01-2003-00011596-0.
- Communicated by: Ken Ono
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 134 (2006), 3445-3447
- MSC (2000): Primary 11F11; Secondary 11F41
- DOI: https://doi.org/10.1090/S0002-9939-06-08440-1
- MathSciNet review: 2240654