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

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

2004-11-06

arxiv.org/abs/math/0411135v2

Mathematics

Number Theory

v2. Very minor changes. 35 pages

Scientific paper

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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