108 citations · 378 across the 31 of their papers we have counts for
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math.CA2018★ 13 cited
On the discretized sum-product problem
Larry Guth, Nets Hawk Katz, Joshua Zahl
We give a new proof of the discretized ring theorem for sets of real numbers. As a special case, we show that if is a -set in the sense of Katz and…
math.CA2018
On the polynomial Wolff axioms
Nets Hawk Katz, Keith M. Rogers
We confirm a conjecture of Guth concerning the maximal number of -tubes, with -separated directions, contained in the -neighborhood of a real algebraic variety. Modulo a f…