Caltech/UCLA Joint Analysis Seminar

Series: Caltech/UCLA/USC Joint Analysis Seminar Series

Polynomial Roth theorems in Salem sets

Shaoming Guo, Department of Mathematics, University of Wisconsin Madison,

Let P(t) be a polynomial of one real variable. I will report a result on searching for patterns of the form (x,x+t,x+P(t)) within Salem sets, whose Hausdorff dimension is sufficiently close to one. Joint work with Fraser and Pramanik.

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