ABOUT UNIMPROVABLE OF DIRICHLET’S THEOREM ON THE APPROXIMATION OF REAL NUMBERS BY RATIONAL
Abstract
It is proved that the Dirichlet’s theorem on the approximation of real numbers by rational can not be improved.
References
1. Dirichlet L. G. P. Verallgemeinerung eines Satzes aus der Lehre von den Kettenbruchen nebst einigen Anwendungen auf die Theorie der Zahlen. S.-B. Preus. Akad. Wiss., 1842. P. 93-95.
2. Bernik V. I., Dodson M. M. Metric Diophantine approximation on manifolds. Cambridge Tracts in Mathematics, CUP, 1999. Vol. 137.
3. Schmidt W. M. Diophantine Approximation (Lecture Notes in Mathematics). Berlin, 1980.
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