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arXiv · 2302.14761

On the convergence of certain indefinite theta series

Xiaoyu Zhang
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Abstract

We give an elementary proof of the convergence of indefinite theta series associated to an inner space of signature $(n,2)$ conjectured in the work of Alexandrov,Banerjee,Manschot and Pioline (2018) and show that the incidence conditions are also necessary for the convergence.

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Xiaoyu Zhang. 2023-02-28. On the convergence of certain indefinite theta series. https://doi.org/10.4064/aa230418-10-3

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