{nkx} and diophantine equations
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چکیده
We establish a law of the iterated logarithm for the discrepancy of sequences (nkx) mod 1 where (nk) is a sequence of integers satisfying a sub-Hadamard growth condition and such that one and four-term Diophantine equations in the variables nk do not have too many solutions. The conditions are discussed, the probabilistic details of the proof are given elsewhere. As a corollary to our results, the asymptotic behavior of sums P
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Metric discrepancy results for sequences {nkx} and diophantine equations
We establish a law of the iterated logarithm for the discrepancy of sequences (nkx) mod 1 where (nk) is a sequence of integers satisfying a sub-Hadamard growth condition and such that one and four-term Diophantine equations in the variables nk do not have too many solutions. The conditions are discussed, the probabilistic details of the proof are given elsewhere. As a corollary to our results, ...
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تاریخ انتشار 2005