On approximation to real numbers by algebraic numbers

• Autorzy: K. I. Tishchenko
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2000
• Tom: 94
• Numer: 1
• Strony: 1-24

Daty

wydano

2000

otrzymano

1998-06-10

poprawiono

1999-12-14

Twórcy

autor

K. I. Tishchenko

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

Bibliografia

• [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.