Geodesic
$k$-order estimate for Dirichlet series in a~half-strip
Ufa mathematical journal, Tome 6 (2014) no. 4, pp. 18-30

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We study Dirichlet series converging only in a half-plane and whose sequence of exponents can be extended to some “right” sequence. We establish the best possible $k$-order estimates for the sum of the Dirichlet series in the half-strip whose width depends on a special distribution density of the exponents.
Keywords: $k$-order of the Dirichlet series in a half-strip, entire functions of a given growth on the real. 
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     author = {N. N. Aitkuzhina and A. M. Gaisin},
     title = {$k$-order estimate for {Dirichlet} series in a~half-strip},
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N. N. Aitkuzhina; A. M. Gaisin. $k$-order estimate for Dirichlet series in a~half-strip. Ufa mathematical journal, Tome 6 (2014) no. 4, pp. 18-30. http://geodesic.mathdoc.fr/item/UFA_2014_6_4_a1/