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math.CA2019
On The Local Sum Conjecture in Two Dimensions
Robert Fraser, James Wright
In this paper we give an elementary proof of the local sum conjecture in two dimensions. In a remarkable paper [CMN, arXiv:1810.11340], this conjecture has been established in all…
math.CA2019
Polynomial Roth theorems on sets of fractional dimensions
Robert Fraser, Shaoming Guo, Malabika Pramanik
Let be a closed set of Hausdorff dimension . Let be a polynomial without a constant term whose degree is bigger tha…