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@article{CHEB_2008_9_1_a14, author = {Natalia Budarina and Detta Dickinson}, title = {Simultaneous {Diophantine} approximation of integral polynomials in the different metrics}, journal = {\v{C}eby\v{s}evskij sbornik}, pages = {169--184}, publisher = {mathdoc}, volume = {9}, number = {1}, year = {2008}, language = {en}, url = {http://geodesic.mathdoc.fr/item/CHEB_2008_9_1_a14/} }
TY - JOUR AU - Natalia Budarina AU - Detta Dickinson TI - Simultaneous Diophantine approximation of integral polynomials in the different metrics JO - Čebyševskij sbornik PY - 2008 SP - 169 EP - 184 VL - 9 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CHEB_2008_9_1_a14/ LA - en ID - CHEB_2008_9_1_a14 ER -
Natalia Budarina; Detta Dickinson. Simultaneous Diophantine approximation of integral polynomials in the different metrics. Čebyševskij sbornik, Tome 9 (2008) no. 1, pp. 169-184. http://geodesic.mathdoc.fr/item/CHEB_2008_9_1_a14/
[1] A. Baker, “On a theorem of Sprindzuk”, Proc. Roy. Soc., London Ser. A, 292 (1966), 92–104 | DOI
[2] V. Beresnevich, “On approximation of real numbers by real algebraic numbers”, Acta Arith., 90 (1999), 97–112 | MR
[3] V. Beresnevich, V. Bernik, E. Kovalevskaya, “On approximation of $p$-adic numbers by $p$-adic algebraic numbers”, Journal of Number Theory, 111 (2005), 33–56 | DOI | MR
[4] V. Bernik, “The metric theorem on the simultaneous approximation of zero by values of integral polynomials”, Izv. Akad. Nauk SSSR, Ser. Mat., 44 (1980), 24–45 | MR
[5] V. Bernik, “On the exact order of approximation of zero by values of integral polynomials”, Acta Arith., 53 (1989), 17–28 | MR
[6] V. Bernik, N. Kalosha, “Approximation of zero by values of integral polynomials in space $\mathbb{R}\times\mathbb{C}\times\mathbb{Q}_p$”, Vesti NAN of Belarus. Ser. fiz-mat nauk, 1 (2004), 121–123 | MR
[7] V. Bernik, D. Vasilyev, “A Khinchin-type theorem for integral-valued polynomials of a complex variable”, Proc. IM NAN Belarus, 3 (1999), 10–20 | MR
[8] V. Borbat, “A joint zero approximation by values of polynomials and their derivatives”, Vests. Byelorus. Acad. Navuk, 1 (1995), 9–16 | MR
[9] N. Budarina, D. Dickinson, V. Bernik, Simultaneous Diophantine approximation in the real, complex and $p$-adic fields, submitted
[10] E. Kovalevskaya, On the exact order of approximation to zero by values of integral polynomials in $\mathbb{Q}_p$, Preprint Institute Math. National Academy Sciences Belarus No 8(547), Minsk, 1998
[11] V. Sprindzuk, Mahler's problem in the Metric Theory of Numbers, Transl. Math. Monographs, 25, Amer. Math. Soc., Providence, R.I., 1969 | MR
[12] F. Z̋eludevich, “Simultine diophantishe Approximationen abhangiger Grössen in mehreren Metriken”, Acta Arith., 46 (1986), 285–296 | MR