EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 65(79), pp. 63--68 (1999)

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On one Hilbert's problem for the Lerch zeta-function

R. Garunk\v stis and A. Laurin\v cikas

Department of Mathematics Vilnius University Naugarduko, 24 2006 Vilnius, Lithuania

Abstract: The functional independence of the Lerch zeta-function $L(\lambda,\alpha,s)$ is obtained. The cases of transcendental and rational $\alpha$ are considered.

Keywords: Lerch zeta-function, functional independence, universality.

Classification (MSC2000): 11M35; 11M41

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Electronic fulltext finalized on: 1 Nov 2001. This page was last modified: 7 Dec 2001.

© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
© 2001 ELibM for the EMIS Electronic Edition