The dimensions of spaces of holomorphic second-order automorphic forms and their cohomology
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Abstract:
In this paper we answer a question of Zagier and find the dimensions of spaces of holomorphic second-order forms of even weight. We also establish a cohomological interpretation and prove an Eichler-Shimura-type isomorphism.References
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Additional Information
- Nikolaos Diamantis
- Affiliation: Department of Mathematics, University of Nottingham, Nottingham, England
- ORCID: 0000-0002-3670-278X
- Cormac O’Sullivan
- Affiliation: Department of Mathematics and Computer Science, Bronx Community College, Bronx, New York 10453
- MR Author ID: 658848
- Received by editor(s): February 24, 2005
- Published electronically: June 19, 2008
- Additional Notes: The first author was partially supported by EPSRC grant EP/D032350/1
The second author was partially supported by a grant from the City University of New York PSC-CUNY Research Award Program - © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 360 (2008), 5629-5666
- MSC (2000): Primary 11F12; Secondary 11F72, 11F75
- DOI: https://doi.org/10.1090/S0002-9947-08-04755-7
- MathSciNet review: 2425686