On the Discretized Sum-Product Problem

<jats:title>Abstract</jats:title> <jats:p>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 and Tao, then either $A+A$ or $A.A$ must...

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Bibliographic Details
Main Authors: Guth, Larry, Katz, Nets Hawk, Zahl, Joshua
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Oxford University Press (OUP) 2021
Online Access:https://hdl.handle.net/1721.1/135572

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