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Sibirskii Matematicheskii Zhurnal, 2008, Volume 49, Number 2, Pages 280–298
(Mi smj1840)
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This article is cited in 5 scientific papers (total in 5 papers)
An estimate for the Dirichlet series in a half-strip in the case of the irregular distribution of exponents. II
A. M. Gaisin, D. I. Sergeeva Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
Abstract:
We study the Dirichlet series that are convergent only in a half-plane and whose sequence of exponents extends to a “regular” sequence. We establish some unimprovable estimates for the order of the sum of the Dirichlet series in a half-strip whose width depends on the special distribution density of the exponents.
Keywords:
order of the Dirichlet series in a half-strip.
Received: 03.05.2005 Revised: 27.04.2007
Citation:
A. M. Gaisin, D. I. Sergeeva, “An estimate for the Dirichlet series in a half-strip in the case of the irregular distribution of exponents. II”, Sibirsk. Mat. Zh., 49:2 (2008), 280–298; Siberian Math. J., 49:2 (2008), 222–238
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https://www.mathnet.ru/eng/smj1840 https://www.mathnet.ru/eng/smj/v49/i2/p280
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Abstract page: | 547 | Full-text PDF : | 88 | References: | 54 | First page: | 1 |
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