Geodesic
$k$-order estimate for Dirichlet series in a half-strip
Ufa mathematical journal, Tome 6 (2014) no. 4, pp. 18-30 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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. 
@article{UFA_2014_6_4_a1,
     author = {N. N. Aitkuzhina and A. M. Gaisin},
     title = {$k$-order estimate for {Dirichlet} series in a~half-strip},
     journal = {Ufa mathematical journal},
     pages = {18--30},
     year = {2014},
     volume = {6},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UFA_2014_6_4_a1/}
}
TY  - JOUR
AU  - N. N. Aitkuzhina
AU  - A. M. Gaisin
TI  - $k$-order estimate for Dirichlet series in a half-strip
JO  - Ufa mathematical journal
PY  - 2014
SP  - 18
EP  - 30
VL  - 6
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/UFA_2014_6_4_a1/
LA  - en
ID  - UFA_2014_6_4_a1
ER  - 
%0 Journal Article
%A N. N. Aitkuzhina
%A A. M. Gaisin
%T $k$-order estimate for Dirichlet series in a half-strip
%J Ufa mathematical journal
%D 2014
%P 18-30
%V 6
%N 4
%U http://geodesic.mathdoc.fr/item/UFA_2014_6_4_a1/
%G en
%F UFA_2014_6_4_a1
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/

[1] Ritt J. F., “On certain points in the theory of Dirichlet series”, Amer. J. of Math., 50:1 (1928), 73–86 | DOI | MR | Zbl

[2] Mandelbroit S., Primykayuschie ryady. Regulyarizatsiya posledovatelnostei. Primeneniya, IL, M., 1955

[3] Leontev A. F., Ryady eksponent, Nauka, M., 1976 | MR | Zbl

[4] Gaisin A. M., “Otsenka rosta funktsii, predstavlennoi ryadom Dirikhle, v polupolose”, Matem. sb., 117(159):3 (1982), 412–424 | MR | Zbl

[5] Gaisin A. M., Sergeeva D. I., “Tselye funktsii s zadannoi posledovatelnostyu nulei, imeyuschie pravilnoe povedenie na veschestvennoi osi. I”, Sib. matem. zhurn., 48:5 (2007), 995–1007 | MR

[6] Gaisin A. M., Sergeeva D. I., “Otsenka ryada Dirikhle v polupolose v sluchae neregulyarnogo raspredeleniya pokazatelei. II”, Sib. matem. zhurn., 49:2 (2008), 280–298 | MR | Zbl