Cite this article as:
Laurinˇcikas A. ., Macaitiene R. .., Mokhov D. .., Siauciunas D. .. On Universality of Certain Zeta-functions. Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 2013, vol. 13, iss. 4, pp. 67-72. DOI: https://doi.org/10.18500/1816-9791-2013-13-4-67-72
Language:
Russian
Heading:
UDC:
511.3
On Universality of Certain Zeta-functions
Abstract:
It is well known that a generalization of the Hurwitz zeta-function—the periodic Hurwitz zeta-function with transcendental parameter is universal in the sense that its shifts approximate any analytic function. In the paper, the transcendence condition is replaced by a simpler one on the linear independence of a certain set.
Key words:
References
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