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Journal of Siberian Federal University. Mathematics & Physics, 2014, Volume 7, Issue 4, Pages 489–499
(Mi jsfu394)
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This article is cited in 7 scientific papers (total in 7 papers)
On the zeta-function of zeros of some class of entire functions
Vyacheslav I. Kuzovatova, Alexey A. Kytmanovb a Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041
b Institute of Space and Information Technology, Siberian Federal University, Kirenskogo, 26, Krasnoyarsk, 660074, Russia
Abstract:
Using the residue theory, we give an integral representation for the zeta-function that enables us to construct its analytic continuation.
Keywords:
zeta-function, integral representation, entire function.
Received: 25.07.2014 Received in revised form: 20.08.2014 Accepted: 26.09.2014
Citation:
Vyacheslav I. Kuzovatov, Alexey A. Kytmanov, “On the zeta-function of zeros of some class of entire functions”, J. Sib. Fed. Univ. Math. Phys., 7:4 (2014), 489–499
Linking options:
https://www.mathnet.ru/eng/jsfu394 https://www.mathnet.ru/eng/jsfu/v7/i4/p489
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