Additive energy and the metric Poissonian property

Let A be a set of natural numbers. Recent work has suggested a strong link between the additive energy of A (the number of solutions to a1+a2=a3+a4 with ai∈A ) and the metric Poissonian property, which is a fine-scale equidistribution property for dilates of A modulo 1 . There appears to be reasonab...

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書目詳細資料
Main Authors: Bloom, T, Chow, S, Gafni, A, Walker, A
格式: Journal article
出版: Cambridge University Press 2018