Inhomogeneous diophantine approximation on polynomials in $ℚ_p$

• Autorzy: V. Bernik , H. Dickinson , J. Yuan
• Języki publikacji: EN

Kategorie tematyczne

• 11J61: Approximation in non-Archimedean valuations
• 11J54: Small fractional parts of polynomials and generalizations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1999
• Tom: 90
• Numer: 1
• Strony: 37-48

Daty

wydano

1999

otrzymano

1998-05-05

poprawiono

1999-02-03

Twórcy

autor

V. Bernik

• Institute of Mathematics, Academy of Sciences, Surganova 11, 220072 Minsk, Belarus

autor

H. Dickinson

• Department of Mathematics, University of York, Heslington York, YO1 5DD, England

autor

J. Yuan

• Department of Mathematics, Northwest University, Xi'an, 710069, Shaanxi P.R. China

Bibliografia

• [1] A. Baker, On a theorem of Sprindžuk, Proc. Roy. Soc. London Ser. A 292 (1966), 92-104.
• [2] V. Bernik, Application of Hausdorff dimension in the theory of Diophantine approximation, Acta Arith. 42 (1983), 219-253 (in Russian); English transl.: Amer. Math. Soc. Transl. 140 (1988), 15-44.
• [3] V. Bernik and Yu. Melnichuk, Properties of integral polynomials of p-adic variables with a small norm in the disc, Vestnik L'vov. Politekhn. Inst. 182 (1985), 63-64 (in Russian).
• [4] A. O. Gel'fond, Transcendental and Algebraic Numbers, GITTL, Moscow, 1952 (in Russian); English transl.: Dover, New York, 1960.
• [5] E. Lutz, Sur les approximations diophantiennes linéaires et p-adiques, Actualités Sci. Indust. 1224, Hermann, 1955.
• [6] K. Mahler, Über das Mass der Menge aller s-Zahlen, Math. Ann. 106 (1932), 131-139.
• [7] A. Sprindžuk, A proof of Mahler's conjecture on the measure of the set of s-numbers, Izv. Akad. Nauk SSSR Ser. Mat. 29 (1965), 379-436 (in Russian); English transl.: Amer. Math. Soc. Transl. (2) 51 (1966), 215-272.
• [8] A. Sprindžuk, Mahler's Problem in Metric Number Theory, Transl. Math. Monographs 25, Amer. Math. Soc., Providence, 1969.