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This article is cited in 3 scientific papers (total in 3 papers)
Mathematics
On universality of certain zeta-functions
A. Laurinčikasa, R. Macaitienėb, D. Mokhovc, D. Šiaučiūnasb a Vilnius University, Naugarduko st. 24, LT-03225 Vilnius, Lithuania
b Šiauliai University, P. Višinskio st. 19, LT-77156 Šiauliai, Lithuania
c Vilnius University, Naugarduko st. 24, LT-03225 Vilnius, Lithuania
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:
periodic Hurwitz zeta-function, space of analytic functions, universality, weak convergence.
Citation:
A. Laurinčikas, R. Macaitienė, D. Mokhov, D. Šiaučiūnas, “On universality of certain zeta-functions”, Izv. Saratov Univ. Math. Mech. Inform., 13:4(2) (2013), 67–72
Linking options:
https://www.mathnet.ru/eng/isu475 https://www.mathnet.ru/eng/isu/v13/i7/p67
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Abstract page: | 205 | Full-text PDF : | 67 | References: | 45 |
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