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Theta liftings on weak Maass forms

We construct theta liftings from half-integral weight weak Maass forms to even integral weight weak Maass forms by using regularized theta integral. Moreover it gives an extension of Niwa's theta liftings on harmonic weak Maass forms. And we obtain the similar results to those by Niwa.

preprint2011arXivOpen access
Youngju ChoieSubong Lim
math.NT
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Youngju ChoieSubong Lim

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