Optimal bound for the discrepancies of lacunary sequences
Volume 158 / 2013
Acta Arithmetica 158 (2013), 229-243
MSC: Primary 11A25; Secondary 60F15, 60G50.
DOI: 10.4064/aa158-3-3
Abstract
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.
