The dimension of vector-valued modular forms of integer weight

Details The dimension of vector-valued modular forms of integer weight The dimension of vector-valued modular forms of integer weight

2011-04-07

arxiv.org/abs/1104.1278v1

Mathematics

Number Theory

18 pages

Scientific paper

We present a dimension formula for spaces of vector-valued modular forms of
integer weight in case the associated multiplier system has finite image, and
discuss the weight distribution of the module generators of holomorphic and
cusp forms, as well as the duality relation between cusp forms and holomorphic
forms for the contragredient.

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