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

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Journal of Siberian Federal University. Mathematics & Physics, 2014, Volume 7, Issue 4, Pages 489–499 (Mi jsfu394)

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. Kuzovatov^a, Alexey A. Kytmanov^b

^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

Full-text PDF (174 kB) Citations (7)

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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

Bibliographic databases:

Document Type: Article

UDC: 517.55

Language: English

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

Citation in format AMSBIB

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\by Vyacheslav~I.~Kuzovatov, Alexey~A.~Kytmanov

\paper On the zeta-function of zeros of some class of entire functions

\jour J. Sib. Fed. Univ. Math. Phys.

\yr 2014

\vol 7

\issue 4

\pages 489--499

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\elib{https://elibrary.ru/item.asp?id=22472475}

\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84936060830}

Linking options:

https://www.mathnet.ru/eng/jsfu394

https://www.mathnet.ru/eng/jsfu/v7/i4/p489

This publication is cited in the following 7 articles:

Vyacheslav I. Kuzovatov, Alexander M. Kytmanov, Azimbai Sadullaev, “On the zeta-function of zeros of an entire function”, Zhurn. SFU. Ser. Matem. i fiz., 14:5 (2021), 599–603
Kuzovatov I V., Kytmanov A.A., Myshkina E.K., “An Algorithm For Constructing the Resultant of Two Entire Functions”, Program. Comput. Softw., 47:2 (2021), 139–143
Vyacheslav Kuzovatov, Alexander Kytmanov, Azimbai Sadullaev, “On the application of the Plan formula to the study of the zeta-function of zeros of entire function”, Zhurn. SFU. Ser. Matem. i fiz., 13:2 (2020), 135–140
V. I. Kuzovatov, A. M. Kytmanov, “On an analog of the Binet integral representation”, Sib. elektron. matem. izv., 17 (2020), 840–852
Kuzovatov V.I., Kytmanov A.A., Kuzovatova O.I., “Algorithm For Constructing An Analogue of the Binet Formula”, Program. Comput. Softw., 46:2 (2020), 105–109
V. I. Kuzovatov, “On one generalization of the Plan formula”, Russian Math. (Iz. VUZ), 62:5 (2018), 34–43
V. I. Kuzovatov, A. M. Kytmanov, “On an analog of the Plan formula”, J. Contemp. Math. Anal.-Armen. Aca., 53:3 (2018), 139–146

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Журнал Сибирского федерального университета. Серия "Математика и физика"

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