Siegel cusp forms of degree \(12k\) and weight \(12k\) (Q1971694)
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scientific article; zbMATH DE number 1423149
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Siegel cusp forms of degree \(12k\) and weight \(12k\) |
scientific article; zbMATH DE number 1423149 |
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Siegel cusp forms of degree \(12k\) and weight \(12k\) (English)
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24 January 2002
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The author constructs a non-trivial Siegel cusp form of degree \(12k\) and weight \(12k\), \(k\in\mathbb{N}\), as a linear combination of theta series. This generalizes the case \(k=1\) proved by \textit{R. E. Borcherds}, \textit{E. Freitag} and \textit{R. Weissauer} [J. Reine Angew. Math. 494, 141-153 (1998; Zbl 0885.11034)].
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Siegel cusp form
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theta series
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0.8581085205078125
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0.7793059945106506
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0.7722302079200745
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