This article is cited in 7 papers

On the Distribution Modulo 1 of Exponential Sequences

R. K. Akhunzhanov

M. V. Lomonosov Moscow State University

Abstract: New quantitative results on the intersection of winning sets and the Hausdorff dimension of this intersection are obtained. An application to the problem on fractional parts of the sequence $\{2^n3^m\alpha\}$ is given.

UDC: 511.21

Received: 18.09.2003
Revised: 29.12.2003

DOI: 10.4213/mzm96

 English version: Mathematical Notes, 2004, 76:2, 153–160

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