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Siegel theta series for quadratic forms of signature \((m - 1, 1)\) - MaRDI portal

Siegel theta series for quadratic forms of signature \((m - 1, 1)\) (Q6166734)

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scientific article; zbMATH DE number 7722267
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Siegel theta series for quadratic forms of signature \((m - 1, 1)\)
scientific article; zbMATH DE number 7722267

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    Siegel theta series for quadratic forms of signature \((m - 1, 1)\) (English)
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    3 August 2023
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    In the paper under review, the author considers the problem to find for arbitrary genus \(n \in \mathbb{N}\) holomorphic Siegel theta series that are related to non- holomorphic modular Siegel theta series for quadratic forms of signature \((m-1, 1)\). She gives a holomorphic series which is not a modular form. Furthermore, a non-holomorphic series that transforms like a Siegel modular form of weight \(m/2\) is given.
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    non-holomorphic Siegel modular forms
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    indefinite Siegel theta series
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