The theory of zeta functions of several complex variables. I (Q800417)
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scientific article; zbMATH DE number 3875415
| Language | Label | Description | Also known as |
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| English | The theory of zeta functions of several complex variables. I |
scientific article; zbMATH DE number 3875415 |
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The theory of zeta functions of several complex variables. I (English)
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1984
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There is a general result on the values of a Dirichlet series at negative integers [see e.g. \textit{D. Zagier}, Astérisque 41-42, 135-151 (1977; Zbl 0359.12012, p. 142]. In the present paper that result is extended to Dirichlet series in several variables and applied to Shintani's generalized Hurwitz zeta-function.
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Mellin transform
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analytic continuation
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values at negative integers
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Dirichlet series in several variables
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Shintani's generalized Hurwitz zeta-function
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