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On Riemann type relations for theta functions on bounded symmetric domains of type $I$ (2301.09243v2)
Published 23 Jan 2023 in math.NT
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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