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Chebyshevskii Sbornik, 2020, Volume 21, Issue 3, Pages 241–249
DOI: https://doi.org/10.22405/2226-8383-2018-21-3-241-249 (Mi cheb939) 		 
This article is cited in 2 scientific papers (total in 2 papers)

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Hyperbolic parameter of approximation of quadratic algebraic lattices

A. V. Rodionov

Tula State Lev Tolstoy Pedagogical University (Tula)
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DOI: https://doi.org/10.22405/2226-8383-2018-21-3-241-249
Abstract: The article considers a variant of the approximation of algebraic lattices by integer ones in the quadratic case, the set of their local minima is written out explicitly, and it is also shown that for these integer approximations of algebraic quadratic lattices it is possible to construct efficient algorithms for calculating the hyperbolic parameter.
Keywords: lattices, hyperbolic parameter, local minima of lattices.
Received: 19.05.2020
Accepted: 22.10.2020
Document Type: Article
UDC: 517
Language: Russian
Citation: A. V. Rodionov, “Hyperbolic parameter of approximation of quadratic algebraic lattices”, Chebyshevskii Sb., 21:3 (2020), 241–249
Citation in format AMSBIB
\Bibitem{Rod20}
\by A.~V.~Rodionov
\paper Hyperbolic parameter of approximation of quadratic algebraic lattices
\jour Chebyshevskii Sb.
\yr 2020
\vol 21
\issue 3
\pages 241--249
\mathnet{http://mi.mathnet.ru/cheb939}
\crossref{https://doi.org/10.22405/2226-8383-2018-21-3-241-249}
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  • https://www.mathnet.ru/eng/cheb/v21/i3/p241
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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