@article{MZM_2004_75_1_a5,
author = {O. N. German},
title = {Asymptotic {Directions} for {Best} {Approximations} of $n${-Dimensional} {Linear} {Forms}},
journal = {Matemati\v{c}eskie zametki},
pages = {55--70},
year = {2004},
volume = {75},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2004_75_1_a5/}
}
O. N. German. Asymptotic Directions for Best Approximations of $n$-Dimensional Linear Forms. Matematičeskie zametki, Tome 75 (2004) no. 1, pp. 55-70. http://geodesic.mathdoc.fr/item/MZM_2004_75_1_a5/
[1] Rogers C. A., “The asymptotic directions of $n$ linear forms in $n+1$ integral variables”, Proc. London Math. Soc. Ser. 2, 52 (1951), 161–185 | DOI | MR | Zbl
[2] Rogers C. A., “The signatures of the errors of simultaneous Diophantine approximations”, Proc. London Math. Soc. Ser. 2, 52 (1951), 186–190 | DOI | MR | Zbl
[3] Moschevitin N. G., “Nailuchshie sovmestnye priblizheniya: normy, signatury i asimptoticheskie napravleniya”, Matem. zametki, 67:5 (2000), 730–737 | MR | Zbl
[4] Finkelshtein Yu. Yu., “Poligony Kleina i privedennye regulyarnye nepreryvnye drobi”, UMN, 48:3 (1993), 205–206 | MR
[5] Boltyanskii V. G., Gokhberg I. Ts., Teoremy i zadachi kombinatornoi geometrii, Nauka, M., 1965 | MR | Zbl
[6] Moschevitin N. G., “O nailuchshikh sovmestnykh priblizheniyakh”, UMN, 51:6 (1996), 213–214 | MR | Zbl
[7] Glyn Harman, “On the distribution of $\alpha p$ modulo one, II”, Proc. London Math. Soc. Ser. 3, 72 (1996), 2 | MR | Zbl
[8] Glyn Harman, “Simultaneous Diophantine approximations with primes”, J. London Math. Soc. Ser. 2, 39 (1989), 405–413 | DOI | MR | Zbl
[9] Sos V. T., Szekeres G., “Rational approximation vectors”, Acta Arith., 49:3 (1988), 255–261 | MR | Zbl
[10] Vinogradov I. M., Osobye varianty metoda trigonometricheskikh summ, Nauka, M., 1976 | MR