Non-Archimedean L-functions of Siegel and Hilbert modular forms (Q1188984)
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scientific article; zbMATH DE number 50578
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Non-Archimedean L-functions of Siegel and Hilbert modular forms |
scientific article; zbMATH DE number 50578 |
Statements
Non-Archimedean L-functions of Siegel and Hilbert modular forms (English)
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18 September 1992
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Using the method of p-adic integration and of Rankin convolutions the author gives in great detail a construction of the p-adic L-functions attached to the standard zeta functions of Siegel modular forms and to the Rankin convolutions of Hilbert modular forms. In addition, a lot of background information is given on p-adic functions (p-adic measures, p- adic Mellin transforms etc.) and on Siegel- and Hilbert modular forms (theta series, Siegel-Eisenstein series, Hecke operators etc.); therefore the book should be accessible also to non-experts in the field.
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p-adic integration
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p-adic L-functions
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Siegel modular forms
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Rankin convolutions
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Hilbert modular forms
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p-adic functions
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0.98440313
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0.93757564
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0.9279524
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0.9263518
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0.9243624
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0.92110294
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0.9145173
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