RUS  ENG
Full version
JOURNALS // Chebyshevskii Sbornik // Archive

Chebyshevskii Sb., 2020 Volume 21, Issue 3, Pages 215–222 (Mi cheb936)

This article is cited in 3 papers

BRIEF MESSAGE

Approximation of quadratic algebraic lattices by integer lattices — II

A. N. Kormacheva

Tula State Lev 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 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.

UDC: 511.9

Received: 21.05.2020
Accepted: 22.10.2020

DOI: 10.22405/2226-8383-2018-21-3-215-222



© Steklov Math. Inst. of RAS, 2025