科研之友
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摘要
The law of the iterated logarithm for discrepancies of {(-2)(k)t}(k) is proved. This result completes the concrete determination of the law of the iterated logarithm for discrepancies of the geometric progression with integer ratio, and reveals the fact that 2 is the only positive integer theta > 1 such that fractional parts of {(-theta)(t)(k)}(k) converge to uniform distribution faster than those of {theta(k)(t)}k a.e. t.
- 出版日期2014-4-18
