On fractional parts of powers of real numbers close to 1

Author:

Bugeaud Yann,Moshchevitin Nikolay

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference9 articles.

1. Bugeaud Y., Moshchevitin N.: Badly approximable numbers and Littlewood-type problems. Math. Proc. Cambridge Phil. Soc. 150, 215–226 (2011)

2. Dubickas A.: On the powers of some transcendental numbers. Bull. Austral. Math. Soc. 76, 433–440 (2007)

3. Falconer K.: Fractal geometry : mathematical foundations and applications. Wiley, New York (1990)

4. Koksma J.F.: Ein mengentheoretischer Satzüber die Gleichverteilung modulo Eins. Comp. Math. 2, 250–258 (1935)

5. Moshchevitin, N.G.: A version of the proof for Peres–Schlag’s theorem on lacunary sequences. arXiv: 0708.2087v2 [math.NT] 15 Aug 2007

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