Geodesic
On the zeta-function of zeros of an entire function
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 14 (2021) no. 5, pp. 599-603.

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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. 
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Vyacheslav I. Kuzovatov; Alexander M. Kytmanov; Azimbai Sadullaev. On the zeta-function of zeros of an entire function. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 14 (2021) no. 5, pp. 599-603. http://geodesic.mathdoc.fr/item/JSFU_2021_14_5_a6/

[1] V.I. Kuzovatov, A.M. Kytmanov, A. Sadullaev, “On the Application of the Plan Formula to the Study of the Zeta-Function of Zeros of Entire Function”, J. Siberian Federal Univ. Math. Phys., 13:2 (2020), 135–140 | DOI | Zbl

[2] V.I. Kuzovatov, A.A. Kytmanov, “On the Zeta-Function of Zeros of Some Class of Entire Functions”, J. Siberian Federal Univ. Math. Phys., 7:4 (2014), 489–499 | DOI | Zbl

[3] E.C. Titchmarsh, The Theory of the Riemann Zeta-Function, Oxford University Press, Oxford, 1951 | Zbl

[4] A.P. Prudnikov, Yu.A. Brychkov, O.I Marichev, Integrals and series. Elementary functions, Gordon Breach Science Publishers, New York, 1986 | Zbl

[5] A. Sadullaev, “On the canonical decomposition of entire functions”, Theory of functions, functional analysis and their applications, 1974, no. 21, 107–121 | Zbl