Geodesic
Approximation of quadratic algebraic lattices by integer lattices
Čebyševskij sbornik, Tome 20 (2019) no. 2, pp. 366-373

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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. 
@article{CHEB_2019_20_2_a27,
     author = {A. N. Kormacheva},
     title = {Approximation of quadratic algebraic lattices by integer lattices},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {366--373},
     publisher = {mathdoc},
     volume = {20},
     number = {2},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2019_20_2_a27/}
}
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A. N. Kormacheva. Approximation of quadratic algebraic lattices by integer lattices. Čebyševskij sbornik, Tome 20 (2019) no. 2, pp. 366-373. http://geodesic.mathdoc.fr/item/CHEB_2019_20_2_a27/