Remark on Dirichlet series satisfying functional equations (Q2709915)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Remark on Dirichlet series satisfying functional equations |
scientific article |
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16 December 2001
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periodic Dirichlet series
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Riemann zeta-function
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functional equations
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0.9588153
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0.94938076
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0.94489646
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0.9404025
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0.92634606
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Remark on Dirichlet series satisfying functional equations (English)
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The chapter 10.25 of \textit{E. C. Titchmarsh}'s, ``The theory of the Riemann zeta-function'' (Oxford 1986; Zbl 0601.10026) contains a well known example of \(5\)-periodic Dirichlet series satisfying a functional equation similar to the one satisfied by the Riemann zeta-function, but having zeros off the critical line. In the paper under review the author constructs more such examples of \(5\) and \(6\)-periodic Dirichlet series.
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