Geodesic
On the Distribution Modulo~1 of Exponential Sequences
Matematičeskie zametki, Tome 76 (2004) no. 2, pp. 163-171

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{MZM_2004_76_2_a0,
     author = {R. K. Akhunzhanov},
     title = {On the {Distribution} {Modulo~1} of {Exponential} {Sequences}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {163--171},
     publisher = {mathdoc},
     volume = {76},
     number = {2},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2004_76_2_a0/}
}
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R. K. Akhunzhanov. On the Distribution Modulo~1 of Exponential Sequences. Matematičeskie zametki, Tome 76 (2004) no. 2, pp. 163-171. http://geodesic.mathdoc.fr/item/MZM_2004_76_2_a0/