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arXiv 0806.4398math.NT
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Parabolic, hyperbolic and elliptic Poincaré series

Özlem Imamoglu, Cormac O'Sullivan

英文摘要:

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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