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Chebyshevskii Sbornik, 2020, Volume 21, Issue 3, Pages 215–222
DOI: https://doi.org/10.22405/2226-8383-2018-21-3-215-222 (Mi cheb936) 		 
This article is cited in 3 scientific papers (total in 3 papers)

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Approximation of quadratic algebraic lattices by integer lattices — II

A. N. Kormacheva

Tula State Lev Tolstoy Pedagogical University (Tula)
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DOI: https://doi.org/10.22405/2226-8383-2018-21-3-215-222
Abstract: This paper is devoted to the approximation of a quadratic algebraic lattice by an integer lattice. It calculates the distances between a quadratic algebraic lattice and an integer lattice when they are given by the numerator and denominator of a suitable fraction to the square root of the discriminant $d$ — of a square-free natural number.
The results of this work allow us to study questions about the best approximations of quadratic algebraic lattices by integer lattices.
Keywords: quadratic fields, approximation of algebraic grids, quality function, generalized parallelepipedal grid.
Funding agency Grant number
Russian Foundation for Basic Research 19-41-710004_р_а
The reported study was funded by RFBR, project number 19-41-710004_r_a.
Received: 21.05.2020
Accepted: 22.10.2020
Document Type: Article
UDC: 511.9
Language: Russian
Citation: A. N. Kormacheva, “Approximation of quadratic algebraic lattices by integer lattices — II”, Chebyshevskii Sb., 21:3 (2020), 215–222
Citation in format AMSBIB
\Bibitem{Kor20}
\by A.~N.~Kormacheva
\paper Approximation of quadratic algebraic lattices by integer lattices~---~II
\jour Chebyshevskii Sb.
\yr 2020
\vol 21
\issue 3
\pages 215--222
\mathnet{http://mi.mathnet.ru/cheb936}
\crossref{https://doi.org/10.22405/2226-8383-2018-21-3-215-222}
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  • https://www.mathnet.ru/eng/cheb/v21/i3/p215
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