The order of the Dirichlet series in the half-strip
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Complex analysis, Tome 142 (2017), pp. 42-56.

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We study Dirichlet series converging in a half-plane whose sequence of exponents can be extended to a certain “regular” sequence. We prove that the $k$-orders of Dirichlet series are the same in all half-strips whose widths are greater than a certain number called the special density of distribution of exponents.
Keywords: $R_ {k}$-density of the sequence, the Dirichlet series, $k$-order, half-strip, half-plane.
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A. M. Gaisin; N. N. Aitkuzhina. The order of the Dirichlet series in the half-strip. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Complex analysis, Tome 142 (2017), pp. 42-56. http://geodesic.mathdoc.fr/item/INTO_2017_142_a3/