Parabolic, hyperbolic and elliptic Poincaré series

Details Parabolic, hyperbolic and elliptic Poincaré series Parabolic, hyperbolic and elliptic Poincaré series

2008-06-26

arxiv.org/abs/0806.4398v1

Mathematics

Number Theory

28 pages

Scientific paper

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

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