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On weighted densities

Rita Giuliano-Antonini, Georges Grekos, Ladislav Mišík (2007)

Czechoslovak Mathematical Journal

The continuity of densities given by the weight functions n α , α [ - 1 , [ , with respect to the parameter α is investigated.

Optimal bound for the discrepancies of lacunary sequences

Christoph Aistleitner, Katusi Fukuyama, Yukako Furuya (2013)

Acta Arithmetica

The law of the iterated logarithm for discrepancies of lacunary sequences is studied. An optimal bound is given under a very mild Diophantine type condition.

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