Parabolic, hyperbolic and elliptic Poincaré series

2008/06/26 by Özlem Imamoğlu, Imamoglu, Özlem, Cormac O’Sullivan +1 · 1 citation
Mathematics · #Analytic Number Theory Research #Mathematical functions and polynomials #Algebraic Geometry and Number Theory

paper · pdf · doi:10.48550/arxiv.0806.4398

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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