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arXiv · 2301.09243

On Riemann type relations for theta functions on bounded symmetric domains of type $I$

Atsuhira Nagano
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Abstract

We provide a practical technique to obtain plenty of algebraic relations for theta functions on the bounded symmetric domains of type $I$. In our framework, each theta relation is controlled by combinatorial properties of a pair $(T,P)$ of a regular matrix $T$ over an imaginary quadratic field and a positive-definite Hermitian matrix $P$ over the complex number field.

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Atsuhira Nagano. 2023-01-23. On Riemann type relations for theta functions on bounded symmetric domains of type $I$. https://doi.org/10.1016/j.laa.2023.05.003

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