On the convergence of certain indefinite theta series

Fuente: arXiv
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Main Author: Zhang, Xiaoyu
Format: Preprint
Published: 2023
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_version_ 1866915008257982464
author Zhang, Xiaoyu
author_facet Zhang, Xiaoyu
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2302_14761
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle On the convergence of certain indefinite theta series
Zhang, Xiaoyu
Number Theory
11F03, 11F27
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.
title On the convergence of certain indefinite theta series
topic Number Theory
11F03, 11F27
url https://arxiv.org/abs/2302.14761