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math.NT2012
Petersson inner products of weight one modular forms
Maryna Viazovska
In this paper we study regularized Petersson products between a holomorphic theta series associated to a positive definite binary quadratic form and a weakly holomorphic weight 1 m…
math.NT2012
Theta lifts and local Maass forms
Kathrin Bringmann, Ben Kane, Maryna Viazovska
The first two authors and Kohnen have recently introduced a new class of modular objects called locally harmonic Maass forms, which are annihilated almost everywhere by the hyperbo…