Geodesic
Hyperbolic parameter of approximation of quadratic algebraic lattices
Čebyševskij sbornik, Tome 21 (2020) no. 3, pp. 241-249

Voir la notice de l'article provenant de la source Math-Net.Ru

The article considers a variant of the approximation of algebraic lattices by integer ones in the quadratic case, the set of their local minima is written out explicitly, and it is also shown that for these integer approximations of algebraic quadratic lattices it is possible to construct efficient algorithms for calculating the hyperbolic parameter.
Keywords: lattices, hyperbolic parameter, local minima of lattices. 
@article{CHEB_2020_21_3_a19,
     author = {A. V. Rodionov},
     title = {Hyperbolic parameter of approximation of quadratic algebraic lattices},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {241--249},
     publisher = {mathdoc},
     volume = {21},
     number = {3},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2020_21_3_a19/}
}
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A. V. Rodionov. Hyperbolic parameter of approximation of quadratic algebraic lattices. Čebyševskij sbornik, Tome 21 (2020) no. 3, pp. 241-249. http://geodesic.mathdoc.fr/item/CHEB_2020_21_3_a19/