Geodesic
On the weak universality theorem
Čebyševskij sbornik, Tome 21 (2020) no. 4, pp. 308-313

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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. 
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     author = {A. V. Kirilina},
     title = {On the weak universality theorem},
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A. V. Kirilina. On the weak universality theorem. Čebyševskij sbornik, Tome 21 (2020) no. 4, pp. 308-313. http://geodesic.mathdoc.fr/item/CHEB_2020_21_4_a24/