Geodesic
Simultaneous approximation of several linear forms
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (1983), pp. 44-47 
V. N. Sorokin. Simultaneous approximation of several linear forms. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (1983), pp. 44-47. http://geodesic.mathdoc.fr/item/VMUMM_1983_1_a11/
@article{VMUMM_1983_1_a11,
     author = {V. N. Sorokin},
     title = {Simultaneous approximation of several linear forms},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {44--47},
     year = {1983},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_1983_1_a11/}
}
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We study a generalization of a multi-dimensional Pade's problem and a problem on one linear form. We find the orthogonality relations and some sufficient conditionsfor the uniqueness of the solution. In the fable of solutions we select a sequence of a special type. For this sequence we introduce the notion of the normal indices and obtain some recurrence relations.