Parabolic, hyperbolic and elliptic Poincar\'e series
classification
🧮 math.NT
keywords
cuspellipticformshyperbolicparabolicpoincarseriesassociated
read the original abstract
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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