276 citations · 4.5k across the 293 of their papers we have counts for
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On the quantitative distribution of polynomial nilsequences - erratum
Ben Green, Terence Tao
This is an erratum to 'On the quantitative distribution of polynomial nilsequences' [GT]. The proof of Theorem 8.6 of that paper, which claims a distribution result for multiparame…
Algebraic combinatorial geometry: the polynomial method in arithmetic combinatorics, incidence combinatorics, and number theory
Terence Tao
Arithmetic combinatorics is often concerned with the problem of bounding the behaviour of arbitrary finite sets in a group or ring with respect to arithmetic operations such as add…
Expansion in finite simple groups of Lie type
Emmanuel Breuillard, Ben Green, Robert Guralnick +1
We show that random Cayley graphs of finite simple (or semisimple) groups of Lie type of fixed rank are expanders. The proofs are based on the Bourgain-Gamburd method and on the ma…
Local universality of zeroes of random polynomials
Terence Tao, Van Vu
In this paper, we establish some local universality results concerning the correlation functions of the zeroes of random polynomials with independent coefficients. More precisely,…
A multi-dimensional Szemerédi theorem for the primes via a correspondence principle
Terence Tao, Tamar Ziegler
We establish a version of the Furstenberg-Katznelson multi-dimensional Szemerédi in the primes , which roughly speaking asserts that any dense sub…
Multiple recurrence and convergence results associated to -actions
Vitaly Bergelson, Terence Tao, Tamar Ziegler
Using an ergodic inverse theorem obtained in our previous paper, we obtain limit formulae for multiple ergodic averages associated with the action of . From this…