A metric discrepancy result for lacunary sequences
نویسندگان
چکیده
منابع مشابه
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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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2012
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-2011-10940-7