The dyadic trace and odd weight computations for Siegel modular cusp forms (Q2721595)
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scientific article; zbMATH DE number 1616266
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The dyadic trace and odd weight computations for Siegel modular cusp forms |
scientific article; zbMATH DE number 1616266 |
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The dyadic trace and odd weight computations for Siegel modular cusp forms (English)
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25 August 2002
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Siegel modular forms
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dimension
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weight
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dyadic trace
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Let \(S_{n}^k\) be the space of Siegel modular cusp forms of degree \(n\) and weight \(k\). The authors show that \(\dim S_{4}^k=0\) for odd \(k\leq 13\) and that \(\dim S_{4}^{15}\leq 4\). The main tool used in the proof is the dyadic trace. They are getting excellent results in the theory of Siegel modular forms by using the dyadic trace. The result of this paper is one of them.
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