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Sibirskii Matematicheskii Zhurnal, 2003, Volume 44, Number 1, Pages 27–43
(Mi smj1164)
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This article is cited in 3 scientific papers (total in 3 papers)
Estimation over curves of the functions given by Dirichlet series on a half-plane
A. M. Gaisina, T. I. Belousb a Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
b Ufa State Aviation Technical University
Abstract:
We study the maximal term of the Hadamard composition of Dirichlet series with real exponents. We obtain a lower estimate for the sum of a Dirichlet series over a curve arbitrarily approaching the convergence line.
Keywords:
Dirichlet series, maximal term, Hadamard composition, asymptotic behavior over curves.
Received: 23.02.2001
Citation:
A. M. Gaisin, T. I. Belous, “Estimation over curves of the functions given by Dirichlet series on a half-plane”, Sibirsk. Mat. Zh., 44:1 (2003), 27–43; Siberian Math. J., 44:1 (2003), 22–36
Linking options:
https://www.mathnet.ru/eng/smj1164 https://www.mathnet.ru/eng/smj/v44/i1/p27
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