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Fukuyama, Katusi Murakami, Koji Ohno, Ryota Ushijima, Satoru The law of the iterated logarithm for discrepancies of three variations of geometric progressions. RIMS K\^oky\^uroku Bessatsu B29, 89-118 (2012). 2012 Research Institute for Mathematical Sciences, Kyoto University, Kyoto EN 11K38 42A55 60F15 discrepancy lacunary sequence law of the iterated logarithm