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Chebyshevskii Sbornik, 2020, Volume 21, Issue 4, Pages 308–313
DOI: https://doi.org/10.22405/2226-8383-2018-21-4-308-313
(Mi cheb970)
 

This article is cited in 1 scientific paper (total in 1 paper)

BRIEF MESSAGE

On the weak universality theorem

A. V. Kirilina

Tula State Lev Tolstoy Pedagogical University (Tula)
Full-text PDF (659 kB) Citations (1)
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Abstract: TThis 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: 02.08.2020
Accepted: 22.10.2020
Document Type: Article
UDC: 511.9
Language: Russian
Citation: A. V. Kirilina, “On the weak universality theorem”, Chebyshevskii Sb., 21:4 (2020), 308–313
Citation in format AMSBIB
\Bibitem{Kir20}
\by A.~V.~Kirilina
\paper On the weak universality theorem
\jour Chebyshevskii Sb.
\yr 2020
\vol 21
\issue 4
\pages 308--313
\mathnet{http://mi.mathnet.ru/cheb970}
\crossref{https://doi.org/10.22405/2226-8383-2018-21-4-308-313}
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  • https://www.mathnet.ru/eng/cheb970
  • https://www.mathnet.ru/eng/cheb/v21/i4/p308
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Full-text PDF :26
    References:10
     
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