\(\zeta\)-function method for infinite series (Q1820891)
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scientific article; zbMATH DE number 3996045
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(\zeta\)-function method for infinite series |
scientific article; zbMATH DE number 3996045 |
Statements
\(\zeta\)-function method for infinite series (English)
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1986
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The \(\zeta\)-function method is used to rearrange Dirichlet series of the form \[ \sum_{m}(\pm)^ m m^{-s} g(x/m) \] into power series in x. This displays explicitly the analyticity in s of the series. Generalized \(\zeta\)-functions of physical interest can be analysed by this method.
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Dirichlet series
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Generalized \(\zeta \)-functions
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