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arXiv · 1905.07944

Traces of reciprocal singular moduli

Claudia Alfes-Neumann·Markus Schwagenscheidt
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Abstract

We show that the generating series of traces of reciprocal singular moduli is a mixed mock modular form of weight $3/2$ whose shadow is given by a linear combination of products of unary and binary theta functions. To prove these results, we extend the Kudla-Millson theta lift of Bruinier and Funke to meromorphic modular functions.

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Claudia Alfes-Neumann, Markus Schwagenscheidt. 2019-05-20. Traces of reciprocal singular moduli. https://doi.org/10.1112/blms.12355

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