On some questions in diophanite approximations
Čebyševskij sbornik, Tome 13 (2012) no. 3, pp. 4-27

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This work is information review on the problem of the best diophantine approximations. First part is review continued fraction's theory. In second part are given the most known facts on a problem of joint approximations. In third part are offered some algorithms of search joint diophantine approximations.
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Y. A. Basalov; A. N. Pacukova. On some questions in diophanite approximations. Čebyševskij sbornik, Tome 13 (2012) no. 3, pp. 4-27. http://geodesic.mathdoc.fr/item/CHEB_2012_13_3_a0/