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DIFFERENTIAL OPERATORS ON POLAR HARMONIC MAASS FORMS AND ELLIPTIC DUALITY

Bringmann, K; Jenkins, P; Kane, B

Bringmann, K (reprint author), Univ Cologne, Math Inst, Weyertal 86-90, D-50931 Cologne, Germany.; Kane, B (reprint author), Univ Hong Kong, Dept Math, Pokfluam, Hong Kong, Peoples R China.

QUARTERLY JOURNAL OF MATHEMATICS, 2019; 70 (4): 1181

Abstract

In this paper, we study polar harmonic Maass forms of negative integral weight. Using work of Fay, we construct Poincare series which span the space o......

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