Geodesic
On universality of the Lerch zeta-function
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Number theory, algebra, and analysis, Tome 276 (2012), pp. 173-181

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

It is known that the Lerch zeta-function $L(\lambda,\alpha,s)$ with transcendental parameter $\alpha$ is universal in the Voronin sense; i.e., every analytic function can be approximated by shifts $L(\lambda,\alpha,s+i\tau)$ uniformly on compact subsets of some region. In this paper, the universality for some classes of composite functions $F(L(\lambda,\alpha,s))$ is obtained. In particular, general theorems imply the universality of the functions $\sin(L(\lambda,\alpha,s))$ and $\sinh(L(\lambda,\alpha,s))$. 
@article{TM_2012_276_a13,
     author = {A. Laurin\v{c}ikas},
     title = {On universality of the {Lerch} zeta-function},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {173--181},
     publisher = {mathdoc},
     volume = {276},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2012_276_a13/}
}
TY  - JOUR
AU  - A. Laurinčikas
TI  - On universality of the Lerch zeta-function
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY  - 2012
SP  - 173
EP  - 181
VL  - 276
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TM_2012_276_a13/
LA  - ru
ID  - TM_2012_276_a13
ER  - 
%0 Journal Article
%A A. Laurinčikas
%T On universality of the Lerch zeta-function
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 2012
%P 173-181
%V 276
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TM_2012_276_a13/
%G ru
%F TM_2012_276_a13
A. Laurinčikas. On universality of the Lerch zeta-function. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Number theory, algebra, and analysis, Tome 276 (2012), pp. 173-181. http://geodesic.mathdoc.fr/item/TM_2012_276_a13/