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Chebyshevskii Sb., 2019, Volume 20, Issue 2, Pages 366–373 (Mi cheb776)  

BRIEF MESSAGE

Approximation of quadratic algebraic lattices by integer lattices

A. N. Kormacheva

Tula State L. N. Tolstoy Pedagogical University (Tula)

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.


DOI: https://doi.org/10.22405/2226-8383-2018-20-2-366-373

Full text: PDF file (649 kB)
References: PDF file   HTML file

UDC: 511.9
Received: 18.05.2019
Accepted:12.07.2019

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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