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arXiv · 0806.4398

Parabolic, hyperbolic and elliptic Poincaré series

Özlem Imamoglu·Cormac O'Sullivan
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Abstract

Following Petersson, we study the parabolic, hyperbolic and elliptic expansions of holomorphic cusp forms and the associated Poincaré series. We show how these ideas extend to the space of second-order cusp forms.

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Özlem Imamoglu, Cormac O'Sullivan. 2008-06-26. Parabolic, hyperbolic and elliptic Poincaré series. https://arxiv.org/abs/0806.4398

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