Density modulo~1 of lacunary and sublacunary sequences: application of Peres--Schlag's construction

N. G. Moshchevitin

Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 5, pp. 117-138.

Résumé

The paper is concerned with the existence of badly approximable numbers in problems involving lacunary or sublacunary sequences. The principal results depend upon Peres–Schlag's method.

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