Titlebook: L-Functions and Automorphic Forms; LAF, Heidelberg, Feb Jan Hendrik Bruinier,Winfried Kohnen Conference proceedings 2017 Springer Internati

SAGE

,Images of Maass-Poincaré Series in the Lower Half-Plane,In this note we extend integral weight harmonic Maass forms to functions defined on the upper and lower half-planes using the method of Poincaré series. This relates to Rademacher’s “expansion of zero” principle, which was recently employed by Rhoades to link mock theta functions and partial theta functions.

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The Metaplectic Tensor Product as an Instance of Langlands Functoriality,We interpret the metaplectic tensor product construction of Mezo for the genuine representations of the Kazhdan-Patterson covering groups in terms of the L-group formalism of Weissman.