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arXiv · 1409.0793

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

Kathrin Bringmann·Ben Kane·Anna-Maria von Pippich
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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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Kathrin Bringmann, Ben Kane, Anna-Maria von Pippich. 2014-09-02. Regularized inner products of meromorphic modular forms and higher Green's functions. https://doi.org/10.1142/s0219199718500293

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