Email this article The Order of the Dirichlet Series in the Half-Strip
- Authors: Gaisin A.M.1, Aitkuzhina N.N.2
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Affiliations:
- Institute of Mathematics with Computing Center, Ufa Scientific Center of Russian Academy of Sciences
- Bashkir State University
- Issue: Vol 241, No 6 (2019)
- Pages: 686-700
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/242932
- DOI: https://doi.org/10.1007/s10958-019-04455-y
- ID: 242932
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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.
About the authors
A. M. Gaisin
Institute of Mathematics with Computing Center, Ufa Scientific Center of Russian Academy of Sciences
Author for correspondence.
Email: Gaisinam@mail.ru
Russian Federation, Ufa
N. N. Aitkuzhina
Bashkir State University
Email: Gaisinam@mail.ru
Russian Federation, Ufa
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