Regularized inner products of meromorphic modular forms and higher Green's functions

Published 2 Sep 2014 in math.NT | (1409.0793v4)

Abstract: In this paper we study generalizations of quadratic form Poincar\'e series, which naturally occur as outputs of theta lifts. Integrating against them yields evaluations of higher Green's functions. For this we require a new regularized inner product, which is of independent interest.

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