Vyacheslav I. Kuzovatov, Alexey A. Kytmanov, “On the zeta-function of zeros of some class of entire functions”, J. Sib. Fed. Univ. Math. Phys., 2014, Volume 7, Issue 4,Pages <nobr>489

This article is cited 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

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.

UDC: 517.55

Received: 25.07.2014
Received in revised form: 20.08.2014
Accepted: 26.09.2014

Language: English