Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Vyacheslav I. Kuzovatov"'
Publikováno v:
Journal of Siberian Federal University. Mathematics & Physics. 14:599-603
This article is devoted to the study of the properties of the zeta-function of zeros of entire function. We obtained an explicit expression for the kernel of the integral representation of the zetafunction in one case
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::99c963e9e1349db80b117aad6c93f9a4
https://doi.org/10.17516/1997-1397-2021-14-5-599-603
https://doi.org/10.17516/1997-1397-2021-14-5-599-603
Publikováno v:
Programming and Computer Software. 47:139-143
On the basis of Newton’s recurrent formulas, an algorithm for constructing the resultant of two entire functions is described. This algorithm helps eliminate unknowns from systems of nonalgebraic equations. This algorithm is implemented in the comp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::100c7f50ac40e578bc6df6bb11dfe406
https://doi.org/10.1134/s0361768821020080
https://doi.org/10.1134/s0361768821020080
Publikováno v:
Sibirskie Elektronnye Matematicheskie Izvestiya. 17:840-852
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8f76296f0d6c3db9d3fe859f274cc6ea
https://doi.org/10.33048/semi.2020.17.061
https://doi.org/10.33048/semi.2020.17.061
Publikováno v:
Programming and Computer Software. 46:105-109
In this paper, we describe an algorithm for constructing an analogue of the Binet formula, which is essential in deriving a functional relation to the classical Riemann zeta-function. The algorithm is implemented in the Maple computer algebra system.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::89e42843dc2f93d294afb5d268951ce1
https://doi.org/10.1134/s0361768820020061
https://doi.org/10.1134/s0361768820020061
On the Application of the Plan Formula to the Study of the Zeta-Function of Zeros of Entire Function
Publikováno v:
Journal of Siberian Federal University. Mathematics & Physics. :135-140
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-funct
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::597184e5adc69f24c268204ebc21d408
https://doi.org/10.17516/1997-1397-2020-13-2-135-140
https://doi.org/10.17516/1997-1397-2020-13-2-135-140
Publikováno v:
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences). 53:139-146
In this paper we obtain an analog of the Plan’s formula, which plays an essential role in obtaining a functional relation for classical Riemann zeta-function.We provide examples of rational functions that satisfy a certain symmetry condition and ad
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::529a5c3af90359da855675b1f2276d43
https://doi.org/10.3103/s1068362318030044
https://doi.org/10.3103/s1068362318030044
Autor:
Vyacheslav I. Kuzovatov
Publikováno v:
Russian Mathematics. 62:34-43
We obtain an analog of the Plana formula, which is essential in obtaining the functional equation for the classical Riemann zeta-function.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3dccf926d56d14a4993c51938893f5a6
https://doi.org/10.3103/s1066369x18050067
https://doi.org/10.3103/s1066369x18050067
Publikováno v:
Programming and Computer Software. 44:100-104
We present an algorithm for constructing an analog of Plan’s formula, which is essential in obtaining a functional relation to the classical Riemann zeta-function. The algorithm is implemented in the Maple computer algebra system.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2fc3ca44b6ce38ab5752765b65149a0f
https://doi.org/10.1134/s036176881802007x
https://doi.org/10.1134/s036176881802007x
Publikováno v:
Siberian Mathematical Journal. 54:841-856
A boundary analog of the Forelli theorem for real-analytic functions is established, i.e., it is demonstrated that each real-analytic function f defined on the boundary of a bounded strictly convex domain D in the multidimensional complex space with
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b9d92fb89c7badf82481dce716bced7c
https://doi.org/10.1134/s0037446613050091
https://doi.org/10.1134/s0037446613050091