On one Hilbert's Problem for the Lerch Zeta-function
Publications de l'Institut Mathématique, _N_S_65 (1999) no. 79, p. 63
Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
The functional independence of the Lerch zeta-function
$L(\lambda,\alpha,s)$ is obtained. The cases of transcendental and
rational $\alpha$ are considered.
Classification :
11M35 11M41
Keywords: Lerch zeta-function, functional independence, universality.
Keywords: Lerch zeta-function, functional independence, universality.
@article{PIM_1999_N_S_65_79_a6,
author = {R. Garunk\v{s}tis and A. Laurin\v{c}ikas},
title = {On one {Hilbert's} {Problem} for the {Lerch} {Zeta-function}},
journal = {Publications de l'Institut Math\'ematique},
pages = {63 },
year = {1999},
volume = {_N_S_65},
number = {79},
zbl = {1006.11049},
language = {en},
url = {http://geodesic.mathdoc.fr/item/PIM_1999_N_S_65_79_a6/}
}
R. Garunkštis; A. Laurinčikas. On one Hilbert's Problem for the Lerch Zeta-function. Publications de l'Institut Mathématique, _N_S_65 (1999) no. 79, p. 63 . http://geodesic.mathdoc.fr/item/PIM_1999_N_S_65_79_a6/