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- W2518256772 abstract "We consider strictly increasing sequences $left(a_{n}right)_{n geq 1}$ of integers and sequences of fractional parts $left(left{a_{n} alpharight}right)_{n geq 1}$ where $alpha in mathbb{R}$. We show that a small additive energy of $left(a_{n}right)_{n geq 1}$ implies that for almost all $alpha$ the sequence $left(left{a_{n} alpharight}right)_{n geq 1}$ has large discrepancy. We prove a general result, provide various examples, and show that the converse assertion is not necessarily true." @default.
- W2518256772 created "2016-09-16" @default.
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- W2518256772 date "2016-08-24" @default.
- W2518256772 modified "2023-09-27" @default.
- W2518256772 title "Additive Energy and Irregularities of Distribution" @default.
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