Vyacheslav I. Kuzovatov, Alexander M. Kytmanov, Azimbai Sadullaev, “On the zeta-function of zeros of an entire function”, J. Sib. Fed. Univ. Math. Phys., 2021, Volume 14, Issue 5,Pages <nobr>599

On the zeta-function of zeros of an entire function

Vyacheslav I. Kuzovatov^ab, Alexander M. Kytmanov^ab, Azimbai Sadullaev^b

^a Siberian Federal University, Krasnoyarsk, Russian Federation
^b National University of Uzbekistan, Tashkent, Uzbekistan

Abstract: This article is devoted to the study of the properties of the zeta-function of zeros of an entire function. We obtain an explicit expression for the kernel of the integral representation of the zeta-function in one case.

Keywords: zeta-function of zeros, integral representation, canonical product.

UDC: 517.5

Received: 10.04.2021
Received in revised form: 02.06.2021
Accepted: 20.06.2021

Language: English

DOI: 10.17516/1997-1397-2021-14-5-599-603