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”, J. Sib. Fed. Univ. Math. Phys., 2020, Volume 13, Issue 2,Pages <nobr>135

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On the application of the Plan formula to the study of the zeta-function of zeros of entire function

Vyacheslav Kuzovatov^a, Alexander Kytmanov^a, Azimbai Sadullaev^b

^a Institute of Mathematics and Computer Science, Siberian Federal University, Russian Federation
^b National university of Uzbekistan, Uzbekistan

Abstract: We consider an application of the Plan formula to the study of the properties of the zeta-function of zeros of entire function. Based on this formula, we obtained an explicit expression for the kernel of the integral representation of the zeta-function in this case.

Keywords: zeta-function of zeros, Plan formula, integral representation.

UDC: 517.5

Received: 10.09.2019
Received in revised form: 16.11.2019
Accepted: 20.01.2020

Language: English

DOI: 10.17516/1997-1397-2020-13-2-135-140