Geodesic
Approximation of quadratic algebraic lattices by integer lattices~---~II
Čebyševskij sbornik, Tome 21 (2020) no. 3, pp. 215-222

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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 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. 
@article{CHEB_2020_21_3_a16,
     author = {A. N. Kormacheva},
     title = {Approximation of quadratic algebraic lattices by integer {lattices~---~II}},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {215--222},
     publisher = {mathdoc},
     volume = {21},
     number = {3},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2020_21_3_a16/}
}
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A. N. Kormacheva. Approximation of quadratic algebraic lattices by integer lattices~---~II. Čebyševskij sbornik, Tome 21 (2020) no. 3, pp. 215-222. http://geodesic.mathdoc.fr/item/CHEB_2020_21_3_a16/