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.
@article{INTO_2017_142_a3,
author = {A. M. Gaisin and N. N. Aitkuzhina},
title = {The order of the {Dirichlet} series in the half-strip},
journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
pages = {42--56},
year = {2017},
volume = {142},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTO_2017_142_a3/}
}
TY - JOUR AU - A. M. Gaisin AU - N. N. Aitkuzhina TI - The order of the Dirichlet series in the half-strip JO - Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory PY - 2017 SP - 42 EP - 56 VL - 142 UR - http://geodesic.mathdoc.fr/item/INTO_2017_142_a3/ LA - ru ID - INTO_2017_142_a3 ER -
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/