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...
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 |
Similar Items
-
On the Erdős distinct distances problem in the plane
by: Guth, Lawrence, et al.
Published: (2015) -
Algebraic curves, rich points, and doubly-ruled surfaces
by: Guth, Lawrence, et al.
Published: (2019) -
Polynomial Wolff axioms and Kakeya-type estimates in R4
by: Guth, Lawrence, et al.
Published: (2018) -
GCD sums and sum-product estimates
by: Bloom, TF, et al.
Published: (2019) -
On discrete fractional integral operators and mean values of Weyl sums
by: Pierce, L
Published: (2011)