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• W2045184766 abstract "For any given integer q⩾2, we consider sets N of non-negative integers that are defined by affine relations between their q-adic digits (for example, the set of non-negative integers such that the number of 1's equals twice the number of 0's in the binary representation). The main goal is to prove that the sequence (αn)n∈N is uniformly distributed modulo 1 for all irrational numbers α. The proof is based on a saddle point analysis of certain generating functions that allows us to bound the corresponding Weyl sums." @default.
• W2045184766 created "2016-06-24" @default.
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• W2045184766 date "2010-11-01" @default.
• W2045184766 modified "2023-09-25" @default.
• W2045184766 title "Weyl sums over integers with affine digit restrictions" @default.
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• W2045184766 doi "https://doi.org/10.1016/j.jnt.2010.04.006" @default.
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