Theta functions on tube domains
Complex Variables
2022-09-20 v3
Abstract
We discuss generalizations of classical theta series, requiring only some basic properties of the classical setting. As it turns out, the existence of a generalized theta transformation formula implies that the series is defined over a quasi-symmetric Siegel domain. In particular the exceptional symmetric tube domain does not admit a theta function.
Keywords
Cite
@article{arxiv.1511.07019,
title = {Theta functions on tube domains},
author = {Josef F. Dorfmeister and Sebastian Walcher},
journal= {arXiv preprint arXiv:1511.07019},
year = {2022}
}
Comments
Some references added to previous version