On approximation to real numbers by algebraic numbers

 Access to full text

 Full (PDF)

1. [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). Zbl0811.11048
2. [2] E. Bombieri and J. Mueller, Remarks on the approximation to an algebraic number by algebraic numbers, Michigan Math. J. 33 (1986), 83-93. Zbl0593.10031
3. [3] H. Davenport and W. M. Schmidt, Approximation to real numbers by quadratic irrationals, Acta Arith. 13 (1967), 169-176. Zbl0155.09503
4. [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. [5] W. M. Schmidt, Diophantine Approximation, Berlin, 1980, 299 p. Zbl0421.10019
6. [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. [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). Zbl0871.11047
8. [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. [9] E. Wirsing, Approximation mit algebraischen Zahlen beschränkten Grades, J. Reine Angew. Math. 206 (1961), 67-77. Zbl0097.03503