The dimensions of spaces of holomorphic second-order automorphic forms and their cohomology

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Second-order automorphic forms are similar to the usual automorphic forms but have a weaker automorphy condition. We answer a question of Zagier and find the dimensions of spaces of holomorphic, even weight, second-order forms. We also establish a cohomological interpretation.
v2. Very minor changes. 35 pages

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Number Theory, 11F12 (Primary) 11F72, 11F75 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/100930

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0411135
 http://arxiv.org/abs/math/0411135

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arXiv