LAUSR

On the Discretized Sum-Product Problem

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1 Published in 2020 at "International Mathematics Research Notices"

DOI: 10.1093/imrn/rnz360

Abstract: We give a new proof of the discretized ring theorem for sets of real numbers. As a special case, we show that if $A\subset \mathbb {R}$ is a $(\delta ,1/2)_1$-set in the sense of Katz… read more here.

Keywords: sum product; product problem; discretized sum;