On \(p\)-adic Hermitian Eisenstein series and \(p\)-adic Siegel cusp forms (Q432466)
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scientific article; zbMATH DE number 6052913
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On \(p\)-adic Hermitian Eisenstein series and \(p\)-adic Siegel cusp forms |
scientific article; zbMATH DE number 6052913 |
Statements
On \(p\)-adic Hermitian Eisenstein series and \(p\)-adic Siegel cusp forms (English)
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4 July 2012
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The authors study two types of \(p\)-adic Hermitian Eisenstein series of degree 2 over the Gaussian number field. Both turn out to be Hermitian modular forms with respect to congruence subgroups of level \(p\). One of them coincides with an Hermitian Eisenstein series with some character and a congruence subgroup. Finally they investigate the cusp form, which arises from the difference of the Siegel-Eisenstein series and the restriction of the Hermitian Eisenstein series to the Siegel half-space.
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p-adic Eisenstein series
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p-adic cusp forms
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Jacobi forms
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Hermitian modular forms
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