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

Nikolaos Diamantis·Cormac O'Sullivan
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Abstract

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.

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Nikolaos Diamantis, Cormac O'Sullivan. 2006-02-12. The dimensions of spaces of holomorphic second-order automorphic forms and their cohomology. https://arxiv.org/abs/math/0411135

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