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- W53885896 abstract "It is a striking and elegant fact (proved independently by Furstenberg and Sarkozy) that in any subset of the natural numbers of positive upper density there necessarily exist two distinct elements whose difference is given by a perfect square. In this article we present a new and simple proof of this result by adapting an argument originally developed by Croot and Sisask to give a new proof of Roth's theorem." @default.
- W53885896 created "2016-06-24" @default.
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- W53885896 date "2011-07-01" @default.
- W53885896 modified "2023-09-24" @default.
- W53885896 title "A simple proof of Sarkozy's theorem" @default.
- W53885896 hasPublicationYear "2011" @default.
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