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Chebyshevskii Sbornik, 2019, Volume 20, Issue 2, Pages 366–373
DOI: https://doi.org/10.22405/2226-8383-2018-20-2-366-373 (Mi cheb776) 		 
This article is cited in 2 scientific papers (total in 2 papers)

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Approximation of quadratic algebraic lattices by integer lattices

A. N. Kormacheva

Tula State L. N. Tolstoy Pedagogical University (Tula)
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DOI: https://doi.org/10.22405/2226-8383-2018-20-2-366-373
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 a Prime $p$ of the form $p=2$ or $p=4k+3$.
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 lattices, metric space of lattices.
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: 18.05.2019
Accepted: 12.07.2019
Document Type: Article
UDC: 511.9
Language: Russian
Citation: A. N. Kormacheva, “Approximation of quadratic algebraic lattices by integer lattices”, Chebyshevskii Sb., 20:2 (2019), 366–373
Citation in format AMSBIB
\Bibitem{Kor19}
\by A.~N.~Kormacheva
\paper Approximation of quadratic algebraic lattices by integer lattices
\jour Chebyshevskii Sb.
\yr 2019
\vol 20
\issue 2
\pages 366--373
\mathnet{http://mi.mathnet.ru/cheb776}
\crossref{https://doi.org/10.22405/2226-8383-2018-20-2-366-373}
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  • https://www.mathnet.ru/eng/cheb/v20/i2/p366
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