A metric discrepancy result for lacunary sequences

Fukuyama, Katusi; Watada, Tetsujin

doi:10.1090/S0002-9939-2011-10940-7

A metric discrepancy result for lacunary sequences
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by Katusi Fukuyama and Tetsujin Watada

Proc. Amer. Math. Soc. 140 (2012), 749-754

DOI: https://doi.org/10.1090/S0002-9939-2011-10940-7

Published electronically: June 23, 2011

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Abstract:

We prove that every value greater than or equal to $1/2$ can be a constant appearing in the law of the iterated logarithm for discrepancies of a lacunary sequence satisfying the Hadamard gap condition.

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