Estimating Siegel modular forms of genus 2 using Jacobi forms (Q5930690)
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scientific article; zbMATH DE number 1590233
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Estimating Siegel modular forms of genus 2 using Jacobi forms |
scientific article; zbMATH DE number 1590233 |
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Estimating Siegel modular forms of genus 2 using Jacobi forms (English)
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23 April 2001
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Igusa's theorem
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ring of Siegel modular forms of genus 2
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dimension of Jacobi forms
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Fourier-Jacobi expansion
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0.90447783
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0.90441346
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0.9042281
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0.90401727
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0.9033141
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0.89628863
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0.8941103
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In this interesting paper, the author gives a new proof of Igusa's theorem on the structure of the ring of Siegel modular forms of genus 2. The key point of the proof is the estimation of the dimension of Jacobi forms appearing in the Fourier-Jacobi expansion of Siegel modular forms. NEWLINENEWLINENEWLINEIt is expected that this method can be applied to other cases as well, for example, Hermitian modular forms, and so on.
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