Geodesic
Exactness of estimates for $k$th order of Dirichlet series in a~semi-strip
Ufa mathematical journal, Tome 7 (2015) no. 4, pp. 15-23

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We study the Dirichlet series converging only in a half-plane such that their sequence of exponents admits an extension to a “regular” sequence. We proved the exactness of two-sided estimates for $k$-order of the sum of the Dirichlet series in a semi-strip whose width depends on the special distribution density of the exponents.
Keywords: $k$-order of the Dirichlet series in a semi-strip, entire functions with a prescribed asymptotics on the positive axis. 
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     title = {Exactness of estimates for $k$th order of {Dirichlet} series in a~semi-strip},
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N. N. Aitkuzhina; A. M. Gaisin. Exactness of estimates for $k$th order of Dirichlet series in a~semi-strip. Ufa mathematical journal, Tome 7 (2015) no. 4, pp. 15-23. http://geodesic.mathdoc.fr/item/UFA_2015_7_4_a1/