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MR2247826 (2008a:60064) 60F15 (11K06 11K38)
Berkes, István; Philipp, Walter; Tichy, Robert F. Empirical processes in probabilistic number theory: the LIL for the discrepancy of $(n\sb k\omega)\bmod1$. Illinois J. Math. 50 (2006), no. 1-4, 107–145. ISBN: 0-9746986-1-X
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