ArticleOriginal scientific text

Title

On approximation to real numbers by algebraic numbers

Authors 1

Affiliations

  1. Institute of Mathematics Academy of Sciences of Belarus 220072, Surganova 11, Minsk Belarus

Bibliography

  1. V. I. Bernik and K. I. Tishchenko, Integral polynomials with an overfall of the coefficient values and Wirsing's problem, Dokl. Akad. Nauk Belarusi 37 (1993), 9-11 (in Russian).
  2. E. Bombieri and J. Mueller, Remarks on the approximation to an algebraic number by algebraic numbers, Michigan Math. J. 33 (1986), 83-93.
  3. H. Davenport and W. M. Schmidt, Approximation to real numbers by quadratic irrationals, Acta Arith. 13 (1967), 169-176.
  4. A. O. Gelfond, On the algebraic independence of transcendental numbers of certain classes, Uspekhi Mat. Nauk (N.S.) 4 (1949), no. 5 (33), 14-48.
  5. W. M. Schmidt, Diophantine Approximation, Berlin, 1980, 299 p.
  6. V. G. Sprindžuk, A proof of Mahler's conjecture on the measure of the set of S-numbers, Izv. Akad. Nauk SSSR Ser. Mat. 29 (1965), no. 2, 379-436 (in Russian).
  7. K. I. Tishchenko, Systems of linearly independent polynomials with height gaps and Wirsing's problem, Vestsi Akad. Navuk Belarusi Ser. Fiz.-Mat. Navuk 4 (1996), 16-22 (in Russian).
  8. K. I. Tishchenko, On approximation to real numbers by algebraic numbers of the third degree, in: Collection of articles dedicated to the 60th birthday of V. G. Sprindžuk, 1997, 85-96 (in Russian).
  9. E. Wirsing, Approximation mit algebraischen Zahlen beschränkten Grades, J. Reine Angew. Math. 206 (1961), 67-77.
Pages:
1-24
Main language of publication
English
Received
1998-06-10
Accepted
1999-12-14
Published
2000
Exact and natural sciences