Extended Epstein's zeta functions over CM-fields (Q760453)
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scientific article; zbMATH DE number 3884243
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Extended Epstein's zeta functions over CM-fields |
scientific article; zbMATH DE number 3884243 |
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Extended Epstein's zeta functions over CM-fields (English)
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1984
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''Extended'' Epstein zeta-functions from totally positive definite binary quadratic forms of discriminant d over a totally real algebraic number field F are expressed through the Dedekind zeta-function \(\zeta_ K\) of \(K=F(\sqrt{d})\) multiplied by a certain finite sum. Using the functional equation of \(\zeta_ K\) one gets a functional equation for the extended Epstein zeta-function.
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quadratic forms
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totally real algebraic number field
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Dedekind zeta- function
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functional equation
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extended Epstein zeta-function
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