On universality of the Lerch zeta-function |
| |
Authors: | A. Laurinčikas |
| |
Affiliation: | 1.Faculty of Mathematics and Informatics,Vilnius University,Vilnius,Lithuania |
| |
Abstract: | It is known that the Lerch zeta-function L(λ, α, s) with transcendental parameter α is universal in the Voronin sense; i.e., every analytic function can be approximated by shifts L(λ, α, s + iτ) uniformly on compact subsets of some region. In this paper, the universality for some classes of composite functions F(L(λ, α, s)) is obtained. In particular, general theorems imply the universality of the functions sin(L(λ, α, s)) and sinh(L(λ, α, s)). |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|