On some properties of the constant of the best joint Diophantine approximations
Čebyševskij sbornik, Tome 22 (2021) no. 5, pp. 340-345

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The article considers the question of the behavior of the values of $ C_n $ with increasing $ n $, where $ C_n $ is the constant of the best joint diophantine approximations. Shows the differences in this question for $ l_2 $ and $ \max $ norms are shown.
Keywords: Diophanite approximations, best joint diophantine approximations constants.
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     author = {Yu. A. Basalov and A. N. Basalova},
     title = {On some properties of the constant of the best joint {Diophantine} approximations},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {340--345},
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     year = {2021},
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Yu. A. Basalov; A. N. Basalova. On some properties of the constant of the best joint Diophantine approximations. Čebyševskij sbornik, Tome 22 (2021) no. 5, pp. 340-345. http://geodesic.mathdoc.fr/item/CHEB_2021_22_5_a22/