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Chebyshevskii Sbornik, 2021, Volume 22, Issue 5, Pages 340–345
DOI: https://doi.org/10.22405/2226-8383-2021-22-5-340-345 (Mi cheb1137) 		 
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On some properties of the constant of the best joint Diophantine approximations

Yu. A. Basalov, A. N. Basalova

Tula State Lev Tolstoy Pedagogical University (Tula)
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DOI: https://doi.org/10.22405/2226-8383-2021-22-5-340-345
Abstract: The article considers the question of the behavior of the values of $ C_n $ with increasing $ n $, where $ C_n $ is the constant of the best joint diophantine approximations. Shows the differences in this question for $ l_2 $ and $ \max $ norms are shown.
Keywords: Diophanite approximations, best joint diophantine approximations constants.
Funding agency Grant number
Russian Foundation for Basic Research 19-41-710004_р_а
The work has been prepared by the RFBR grant №19-41-710004_р_а. The work was supported financially by a grant from the Government of the Tula Region under Contract ДС/294 dated November 16, 2021.
Received: 17.06.2021
Accepted: 21.12.2021
Document Type: Article
UDC: 511.42
Language: Russian
Citation: Yu. A. Basalov, A. N. Basalova, “On some properties of the constant of the best joint Diophantine approximations”, Chebyshevskii Sb., 22:5 (2021), 340–345
Citation in format AMSBIB
\Bibitem{BasBas21}
\by Yu.~A.~Basalov, A.~N.~Basalova
\paper On some properties of the constant of the best joint Diophantine approximations
\jour Chebyshevskii Sb.
\yr 2021
\vol 22
\issue 5
\pages 340--345
\mathnet{http://mi.mathnet.ru/cheb1137}
\crossref{https://doi.org/10.22405/2226-8383-2021-22-5-340-345}
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