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The Order of the Dirichlet Series in the Half-Strip

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We study the Dirichlet series whose domain of convergence is the half-plane, and the sequence of exponents can be extended to a certain “regular” sequence. We prove that the k-orders… Click to show full abstract

We study the Dirichlet series whose domain of convergence is the half-plane, and the sequence of exponents can be extended to a certain “regular” sequence. We prove that the k-orders of the Dirichlet series are the same in all the half-strips whose widths are greater than a certain number called the special density of the distribution of exponents.

Keywords: series half; order dirichlet; series; dirichlet series

Journal Title: Journal of Mathematical Sciences
Year Published: 2019

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