HARMONIC WEAK MAASS FORMS AND PERIOD FUNCTIONS

초록

There are two fundamental differential operators in the theory of harmonic Maass forms. Let N = 2 or 3. Extending results of Bringmann et al. and those of Choi and Kim, we show that the images of a harmonic weak Maass form on Γ0 (N ) under these two operators are intricately related through their period functions

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