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The Lerch zeta-function. III

2002
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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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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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The lerch zeta-function

Integral Transforms and Special Functions, 2000
R. Garunkštis, A. Laurinčikas
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Approximation of analytic functions by generalized discrete shifts of the Lerch zeta-function

Lithuanian Mathematical Journal
Antanas Laurinčikas   +2 more
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The Lerch Zeta-function

2003
Antanas Laurinčikas   +1 more
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