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

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
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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/

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