RUS  ENG
Full version
JOURNALS // Proceedings of the Institute of Mathematics of the NAS of Belarus

Tr. Inst. Mat., 2007, Volume 15, Number 1, Pages 98–104 (Mi timb88)

$P$-adic Diophantine approximation on the Veronese curve with a non-monotonic error
N. V. Budarina, D. Dickinson

References

1. Beresnevich V.V., “On a theorem of V. Bernik in the metric theory of Diophantine approximation”, Acta Arith., 117:1 (2005), 71–80  crossref  mathscinet  zmath  adsnasa  isi
2. Kleinbock D.Y., Margulis G.A., “Flows on homogeneous spaces and Diophantine approximation on manifolds”, Ann. Math., 148 (1998), 339–360  crossref  mathscinet  zmath  isi
3. Sprindžuk V., Mahler's problem in the Metric Theory of Numbers, Transl. Math. Monographs, 25, Amer. Math. Soc., Providence, R.I., 1969  zmath
4. Baker A.A., “On a theorem of Sprindžuk”, Proc. Roy. Soc., London Ser. A, 292 (1966), 92–104  crossref  zmath  adsnasa
5. Beresnevich V.V., “On approximation of real numbers by real algebraic numbers”, Acta Arith., 90 (1999), 97–112  mathscinet  zmath  isi
6. Beresnevich V., Bernik V., Kovalevskaya E., “On approximation of $p$-adic numbers by $p$-adic algebraic numbers”, J. of Number Theory, 111 (2005), 33–56  crossref  mathscinet  zmath  isi
7. Bernik V.I., “On the exact order of approximation of zero by values of integral polynomials”, Acta Arith., 53 (1989), 17–28  mathscinet  zmath  isi
8. Bernik V.I., Melnichuk Y.I., “On integer polynomials of a $p$-adic variable with small norm in the disc”, Proc. Lvov Polytech. Inst., 182 (1985), 63–64


© Steklov Math. Inst. of RAS, 2025