On harmonic weak Maass forms of half integral weight

Details On harmonic weak Maass forms of half integral weight On harmonic weak Maass forms of half integral weight

2010-02-08

arxiv.org/abs/1002.1528v3

Mathematics

Number Theory

11 pages. submitted for publication

Scientific paper

We show that certain space of vector valued harmonic weak Maass forms of half
integral weight is isomorphic to a space of scalar valued ones whose Fourier
coefficients are supported on suitable progressions. This kind of result for
holomorphic modular forms was proved by Eichler and Zagier.

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