A “zero-one” law for diophantine approximations

Vilius Stakénas1
1Vilnius University, Vilnius, Lithuania

Tóm tắt

Từ khóa


Tài liệu tham khảo

P. X. Gallaher, Approximation by reduced fractions,J. Math. Soc. Japan,13, 342–345 (1961).

V. G. Sprindzhuk,The Metric Theory of Diophantine Approximations [in Russian], Nauka, Moscow (1977).

G. Harman, Metric diophantine approximation with two restricted variables I: Two square-free integers, or integers in arithmetic progressions,Math. Proc. Cambr. Phil. Soc.,103, 197–206 (1988).

J. C. Oxtoby,Measure and Category, Springer-Verlag, New York-Heidelberg-Berlin (1971).