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This article is cited in 1 scientific paper (total in 1 paper)
BRIEF MESSAGE
On the weak universality theorem
A. V. Kirilina Tula State Lev Tolstoy Pedagogical University (Tula)
Abstract:
TThis 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.
Received: 02.08.2020 Accepted: 22.10.2020
Citation:
A. V. Kirilina, “On the weak universality theorem”, Chebyshevskii Sb., 21:4 (2020), 308–313
Linking options:
https://www.mathnet.ru/eng/cheb970 https://www.mathnet.ru/eng/cheb/v21/i4/p308
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Abstract page: | 87 | Full-text PDF : | 27 | References: | 10 |
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