On the arithmetic mean function of the real part of entire Dirichlet series (Q2734741)
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scientific article; zbMATH DE number 1635914
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the arithmetic mean function of the real part of entire Dirichlet series |
scientific article; zbMATH DE number 1635914 |
Statements
20 August 2001
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entire function
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On the arithmetic mean function of the real part of entire Dirichlet series (English)
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Let \(E\) be the set of mappings \(f:C\to-(C\) is the complex plane) such that the image under \(f\) of a point \(s\in C\) is \(f(s)=\sum_{n\in N}a_ne^{s \lambda_n}\) with \(\lim_{n \to+\infty} \sup^{\log n\over \lambda_n}= D\in R_+ U\{0\}\) and \(\sigma_C^f= +\infty\). Then \(f\) is an entire function.
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0.7933948040008545
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