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- W4300017647 abstract "We show for a class of sequences $(a_n)_{ngeq 1}$ of distinct positive integers, that for no $alpha$ the sequence $(left{a_n alpha right})_{n geq 1}$ does have Poissonian pair correlation. This class contains for example all strictly increasing integer sequences with positive upper density. This result motivates us to state a certain conjecture on Poissonian pair correlation which would be a significantly stronger version of a result of Jean Bourgain." @default.
- W4300017647 created "2022-10-03" @default.
- W4300017647 creator A5036266706 @default.
- W4300017647 date "2017-11-23" @default.
- W4300017647 modified "2023-09-30" @default.
- W4300017647 title "Remark on a result of Bourgain on poissonian pair correlation" @default.
- W4300017647 doi "https://doi.org/10.48550/arxiv.1711.08663" @default.
- W4300017647 hasPublicationYear "2017" @default.
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