Approximation of quadratic algebraic lattices by integer lattices
https://doi.org/10.22405/2226-8383-2020-21-3-215-222
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.
Supporting agencies: The reported study was funded by RFBR, project number 19-41-710004_r_a.
About the Author
Antonina Nikolaevna Kormacheva
Tula State L. N. Tolstoy Pedagogical University
Russian Federation
Postgraduate Student
Russian Federation
Postgraduate Student
References
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Review
For citations:
Kormacheva A.N. Approximation of quadratic algebraic lattices by integer lattices. Chebyshevskii Sbornik. 2020;21(3):215-222. (In Russ.) https://doi.org/10.22405/2226-8383-2020-21-3-215-222
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