Have a personal or library account? Click to login
The Convergence Part of a Knintchine-Type Theorem in the Ring of Adeles Cover

The Convergence Part of a Knintchine-Type Theorem in the Ring of Adeles

Open Access
|Mar 2015

References

  1. [1] BERNIK, V. I.: Simultaneous approximation of zero by integer polynomials, Izv. Academy Sci. SSSR. Ser. Math. 44 (1980), 24-45.
  2. [2] BUDARINA, N.-DICKINSON, D.- BERNIK, V.: Simultaneous Diophantine approximation in the real, complex and p-adic fields, Math. Proc. Cambridge Phil. Soc. 149 (2010), 193-216.10.1017/S0305004110000162
  3. [3] BERNIK, V. I.-KALOSHA, N. I.: Approximation of zero by integer polynomials in space R×C×Qp, Proc. National Academy Sci. Belarus. Phis. and Math. Ser. 1 (2004), 121-123.
  4. [4] BERESNEVICH, V. V.-BERNIK, V. I.-KOVALEVSKAYA, E. I.: On approximation of p-adic numbers by p-adic algebraic numbers, J. Number Theory 111 (2005), 3-56.10.1016/j.jnt.2004.09.007
  5. [5] KOVALEVSKAYA, E.: Diophantine approximation in C×Qp,: in: Analytic and Probab. Methods in Number Theory (A. Laurinčikas et al., eds.), Proc. of the 4th Intern. Conf. in Honour of J. Kubilius, Palanga, Lithuania, 2006, TEV, Vilnius, 2007, pp. 56-71.
  6. [6] KOVALEVSKAYA, E.: Simultaneous Diophantine approximation in R2 × C × Qp, Tatra Mt. Math. Publ. 56 (2013), 79-86.
  7. [7] SPRINDŽUK, V. G.: Mahler’s Problem in the Metric Theory of Numbers. Sci. and Technics, Minsk, 1965 (In Russian); AMS Transl. of Math. Monographs, Vol. 25, Amer. Math. Soc., Providence, R. I., 1969.
  8. [8] ŽELUDEVICH, F.: Simultane diophantishe Approximationen abhängiger Grössen in mehreren Metriken, Acta Arithm. 46 (1986), 285-296.10.4064/aa-46-3-285-296
  9. [9] BERNIK, V. I.-DODSON, M. M.: Metric Diophantine Approximation of Manifolds, in: Cambridge Tracts in Math., Vol. 137, Cambridge University Press, Cambridge, 1999.10.1017/CBO9780511565991
  10. [10] MOHAMMADI, A.-SALEHI GOLSEFIDI, A.: Simultaneous diophantine approximation in non-degenerate p-adic manifolds. Israil J. Math.188 (2012), 231-258.10.1007/s11856-011-0150-1
DOI: https://doi.org/10.2478/tmmp-2014-0017 | Journal eISSN: 1338-9750 | Journal ISSN: 12103195
Language: English
Page range: 39 - 50
Submitted on: Aug 7, 2014
Published on: Mar 11, 2015
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2015 Ella Kovalevskaya, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.