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- W1986364261 abstract "In [J.N. Cooper, Quasirandom permutations, 2002, to appear], the author introduced quasirandom permutations, permutations of Zn which map intervals to sets with low discrepancy. Here we show that several natural number-theoretic permutations are quasirandom, some very strongly so. Quasirandomness is established via discrete Fourier analysis and the Erdős–Turán inequality, as well as by other means. We apply our results on Sós permutations to make progress on a number of questions relating to the sequence of fractional parts of multiples of an irrational. Several intriguing open problems are presented throughout the discussion." @default.
- W1986364261 created "2016-06-24" @default.
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- W1986364261 date "2005-09-01" @default.
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- W1986364261 title "Quasirandom arithmetic permutations" @default.
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- W1986364261 doi "https://doi.org/10.1016/j.jnt.2005.05.003" @default.
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