Traces of reciprocal singular moduli
Number Theory
2020-06-19 v2
Abstract
We show that the generating series of traces of reciprocal singular moduli is a mixed mock modular form of weight 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.
Cite
@article{arxiv.1905.07944,
title = {Traces of reciprocal singular moduli},
author = {Claudia Alfes-Neumann and Markus Schwagenscheidt},
journal= {arXiv preprint arXiv:1905.07944},
year = {2020}
}