On universality for linear combinations of \(L\)-functions (Q766208)
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scientific article; zbMATH DE number 6018274
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On universality for linear combinations of \(L\)-functions |
scientific article; zbMATH DE number 6018274 |
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On universality for linear combinations of \(L\)-functions (English)
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23 March 2012
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The authors investigate the universality property in the Voronin sense for certain linear combinations of \(L\)-functions with general Dirichlet series as coefficients. They obtain the universality for zeta-functions associated to arithmetic functions, zeta-functions associated to symmetric matrices and Euler-Zagier double zeta and \(L\)-functions. The authors simplifying certain conditions improved the proof of universality theorem for the Estermann zeta-function obtained by \textit{R. Garunkštis}, \textit{A. Laurinčikas}, \textit{R. Šleževičiene} and \textit{J. Steuding} [Analysis, München 22, No. 3, 285--296 (2002; Zbl 1023.11046)].
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hybrid universality
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linear combination of \(L\)-functions
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zeros of \(L\)-functions
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zeta function associated to arithmetic functions
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zeta functions associated to symmetric matrices
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Euler-Zagier double zeta-function
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