Results 151 to 157 of about 2,163 (157)

On universality of the Lerch zeta-function

Proceedings of the Steklov Institute of Mathematics, 2012
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.
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The universality of the Lerch zeta-function

Lithuanian Mathematical Journal, 1997
Es sei \(0< \lambda< 1\), \(\alpha\) sei eine transzendente Zahl, und \(L(\lambda, \alpha,s)\) \((s\in \mathbb{C})\) bezeichne die Lerchsche Zetafunktion. Ferner sei \(D= \{s\in \mathbb{C}: \frac 12< \operatorname {Re}(s)< 1\}\), und \(\operatorname {mes}M\) sei das Lebesguemaß einer Lebesgue-meßbaren Menge \(M\subset \mathbb{R}\).
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The Lerch zeta-function. III

2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Statistical Properties of the Lerch Zeta-Function. II

Lithuanian Mathematical Journal, 2002
The Lerch zeta-function with parameters \(01\) by the Dirichlet series \[ L(\lambda,\alpha,s)=\sum_{n=0}^\infty {\exp(2\pi i\lambda)\over (n+\alpha)^s} \] and by analytic continuation elsewhere except for at most one simple pole at \(s=1\). In the present paper the author proves a discrete limit theorem for the Lerch zeta-function \(L(1,\alpha,s ...
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On the joint universality of Lerch zeta functions

Mathematical Notes, 2010
The note is a continuation of results obtained by the author himself and \textit{K. Matsumoto} [in: Analytic and probabilistic methods in number theory. Proceedings of the 4th international conference in honour of J. Kubilius, Palanga, Lithuania, September 25--29, 2006. 87--98 (2007; Zbl 1149.11042)].
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The lerch zeta-function^∗

Integral Transforms and Special Functions, 2000
R. Garunkštis, A. Laurinčikas
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The Lerch Zeta-function

2003
Antanas Laurinčikas, Ramūnas Garunkštis   +1 more
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