2020/06/09 by Claudia Alfes‐Neumann, Markus Schwagenscheidt · 1 citation
Mathematics · #Advanced Mathematical Identities #Algebraic structures and combinatorial models #Advanced Algebra and Geometry
paper · pdf · doi:10.1112/blms.12355
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.