Geodesic
On the Young Conjugate Functions and the Behavior of the Maximal Terms of the Derivatives of Dirichlet Series
Matematičeskie zametki, Tome 69 (2001) no. 1, pp. 74-81

Voir la notice de l'article provenant de la source Math-Net.Ru

We obtain a criterion for the growth of the maximal term of the Dirichlet series with positive exponents in terms of the behavior of the maximal terms of the successive derivatives of this series. This criterion is obtained from a more general result concerning Young conjugate functions proved in this paper. 
@article{MZM_2001_69_1_a5,
     author = {Ya. V. Mikityuk and M. N. Sheremeta and O. M. Sumyk},
     title = {On the {Young} {Conjugate} {Functions} and the {Behavior} of the {Maximal} {Terms} of the {Derivatives} of {Dirichlet} {Series}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {74--81},
     publisher = {mathdoc},
     volume = {69},
     number = {1},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2001_69_1_a5/}
}
TY  - JOUR
AU  - Ya. V. Mikityuk
AU  - M. N. Sheremeta
AU  - O. M. Sumyk
TI  - On the Young Conjugate Functions and the Behavior of the Maximal Terms of the Derivatives of Dirichlet Series
JO  - Matematičeskie zametki
PY  - 2001
SP  - 74
EP  - 81
VL  - 69
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2001_69_1_a5/
LA  - ru
ID  - MZM_2001_69_1_a5
ER  - 
%0 Journal Article
%A Ya. V. Mikityuk
%A M. N. Sheremeta
%A O. M. Sumyk
%T On the Young Conjugate Functions and the Behavior of the Maximal Terms of the Derivatives of Dirichlet Series
%J Matematičeskie zametki
%D 2001
%P 74-81
%V 69
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2001_69_1_a5/
%G ru
%F MZM_2001_69_1_a5
Ya. V. Mikityuk; M. N. Sheremeta; O. M. Sumyk. On the Young Conjugate Functions and the Behavior of the Maximal Terms of the Derivatives of Dirichlet Series. Matematičeskie zametki, Tome 69 (2001) no. 1, pp. 74-81. http://geodesic.mathdoc.fr/item/MZM_2001_69_1_a5/