In 1975 Philipp showed that for any increasing sequence (n k ) of positive integers satisfying the Hadamard gap condition n k+1 k > q > 1, k ≥ 1, the discrepancy D N of (n k x) mod 1 satisfies the law of the iterated logarithm
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机译：1975年Philipp证明，对于满足Hadamard间隙条件n k + 1 / n k k ） q> 1，k≥1，（n k x）mod 1的差异D N 满足迭代对数律
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