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Chebyshevskii Sbornik, 2020, Volume 21, Issue 4, Pages 196–217
DOI: https://doi.org/10.22405/2226-8383-2018-21-4-196-217 (Mi cheb963) 		 
This article is cited in 1 scientific paper (total in 2 paper)

N. M. Korobov, V. I. Nechaev, S. B. Stechkin, N. M. Dobrovolsky and the revival of the Tula School of number theory

I. Yu. Rebrova, V. N. Chubarikov

Tula State Lev Tolstoy Pedagogical University (Tula)
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DOI: https://doi.org/10.22405/2226-8383-2018-21-4-196-217
Abstract: The paper presents many unknown facts from the history of the Tula school of number theory. It is shown that the main role in the revival of the Tula school of number theory was played by professors N. M. Korobov, V. I. Nechaev, S. B. Stechkin, and N. M. Dobrovolsky.
The role of these main participants in the revival of the scientific school of number theory in Tula is revealed. Various details of the relationship between these participants in the process of reviving the Tula school of number theory are given.
To characterize the activities of the Tula scientific school on number theory after its revival, an overview of the main directions of its work over the past 45 years and a brief description of the work done is provided. The article provides a bibliography of the main scientific publications on the number-theoretic method in approximate analysis by N. M. Korobov and N. M. Dobrovolsky, on which the revival of the Tula school of number theory and its subsequent functioning over the past 45 years were based.
Keywords: N. M. Korobov, V. I. Nechaev, S. B. Stechkin, N. M. Dobrovolsky, the Tula school of number theory, numerical-theoretic method in approximate analysis, lattices, grids, quadrature formulas, interpolation formulas, hyperbolic Zeta function of lattices, Zeta functions of monoids of natural numbers, uniform distribution, metric space of lattices, smooth variety of lattices, approximation of algebraic numbers.
Funding agency Grant number
Russian Foundation for Basic Research 19-41-710004_р_а
Acknowledgments: The reported study was funded by RFBR, project number 19-41-710004_r_a.
Received: 27.06.2020
Accepted: 22.10.2020
Document Type: Article
UDC: 511.42
Language: Russian
Citation: I. Yu. Rebrova, V. N. Chubarikov, “N. M. Korobov, V. I. Nechaev, S. B. Stechkin, N. M. Dobrovolsky and the revival of the Tula School of number theory”, Chebyshevskii Sb., 21:4 (2020), 196–217
Citation in format AMSBIB
\Bibitem{RebChu20}
\by I.~Yu.~Rebrova, V.~N.~Chubarikov
\paper N.~M.~Korobov, V.~I.~Nechaev, S.~B.~Stechkin, N.~M.~Dobrovolsky and the revival of the Tula School of number theory
\jour Chebyshevskii Sb.
\yr 2020
\vol 21
\issue 4
\pages 196--217
\mathnet{http://mi.mathnet.ru/cheb963}
\crossref{https://doi.org/10.22405/2226-8383-2018-21-4-196-217}
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  • https://www.mathnet.ru/eng/cheb/v21/i4/p196
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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