N. N. Dobrovol'skii, I. Yu. Rebrova, A. N. Kormacheva, N. M. Dobrovol'skii, “Deviation estimates for rational grids approximating algebraic”, Chebyshevskii Sb., 2022, Volume 23, Issue 4,Pages <nobr>170

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Deviation estimates for rational grids approximating algebraic

N. N. Dobrovol'skii^ab, I. Yu. Rebrova^a, A. N. Kormacheva^a, N. M. Dobrovol'skii^a

^a Tula State Lev Tolstoy Pedagogical University (Tula)
^b Tula State University (Tula)

Abstract: This paper is devoted to obtaining estimates of the deviation of a parallelepipedal grid, which is a rational grid approximating the algebraic grid of a quadratic field.
New tasks have been set for further research.

Keywords: quadratic fields, approximation of algebraic grids, quality function, generalized parallelepipedal grid, Bykovsky set, Bykovsky sum, local lattice minima, minimal comparison solutions.

UDC: 511.9

Received: 17.06.2022
Accepted: 08.12.2022

DOI: 10.22405/2226-8383-2022-23-4-170-177