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The dimensions of spaces of holomorphic second-order automorphic forms and their cohomology
Author(s):
Nikolaos
Diamantis;
Cormac
O'Sullivan
Journal:
Trans. Amer. Math. Soc.
360
(2008),
5629-5666.
MSC (2000):
Primary 11F12;
Secondary 11F72, 11F75
Posted:
June 19, 2008
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Additional information
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.
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Additional Information:
Nikolaos
Diamantis
Affiliation:
Department of Mathematics, University of Nottingham, Nottingham, England
Cormac
O'Sullivan
Affiliation:
Department of Mathematics and Computer Science, Bronx Community College, Bronx, New York 10453
DOI:
10.1090/S0002-9947-08-04755-7
PII:
S 0002-9947(08)04755-7
Received by editor(s):
February 24, 2005
Posted:
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 of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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