Some problems associated with the distribution of zeros of entire functions defined by Dirichlet series with finite-valued coefficients (Q2857830)
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scientific article; zbMATH DE number 6229027
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some problems associated with the distribution of zeros of entire functions defined by Dirichlet series with finite-valued coefficients |
scientific article; zbMATH DE number 6229027 |
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19 November 2013
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Dirichlet series
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Dirichlet L-functions
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Riemann's functional equation
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Some problems associated with the distribution of zeros of entire functions defined by Dirichlet series with finite-valued coefficients (English)
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The paper is a brief survey on the following research area. Consider a Dirichlet series \(f(z)\) whose coefficients take a finite number of values (for example, are periodic). It is assumed that \(f\) defines, by analytic continuation, an entire function. Suppose that its properties are similar to some of those of the Dirichlet L-functions, such as the growth estimate or the functional equation. What can be said about the location of its zeros?
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0.8030191659927368
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0.7938163876533508
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0.7845978736877441
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0.7734628319740295
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