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Une propriété de la fonction \(\zeta(s)\) et des séries de Dirichlet. - MaRDI portal

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Une propriété de la fonction \(\zeta(s)\) et des séries de Dirichlet. (Q578398)

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scientific article; zbMATH DE number 2561056
Language Label Description Also known as
English
Une propriété de la fonction \(\zeta(s)\) et des séries de Dirichlet.
scientific article; zbMATH DE number 2561056

    Statements

    Une propriété de la fonction \(\zeta(s)\) et des séries de Dirichlet. (English)
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    1928
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    Verf. macht auf die Funktionalgleichung \[ \lim_{\omega \to \infty} \frac 1{2\omega}\int\limits_{-\omega}^\omega L(\beta+it,\chi)\frac {\zeta'}\zeta(\gamma - it)\,dt = \frac{L'}L(\beta+\gamma,\chi) \] aufmerksam als einen aussichtsreichen Ansatz zur Untersuchung der \textit{Dirichlet}schen \(L\)-Reihen.
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