Articles with "roth theorem" as a keyword



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A polynomial Roth theorem on the real line

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Published in 2019 at "Transactions of the American Mathematical Society"

DOI: 10.1090/tran/7574

Abstract: For a polynomial $P$ of degree greater than one, we show the existence of patterns of the form $(x,x+t,x+P(t))$ with a gap estimate on $t$ in positive density subsets of the reals. This is an… read more here.

Keywords: theorem real; real line; polynomial roth; roth theorem ... See more keywords