276 citations · 4.5k across the 293 of their papers we have counts for
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An inverse theorem for an inequality of Kneser
Terence Tao
Let be a compact connected abelian group, and let denote its probability Haar measure. A theorem of Kneser (generalising previous results of Macbeath and Raikov)…
New bounds for Szemerédi's theorem, III: A polylogarithmic bound for
Ben Green, Terence Tao
Define to be the largest cardinality of a set which does not contain four elements in arithmetic progression. In 1998 Gowers proved that \[ r_4(N…
A bound on partitioning clusters
Daniel Kane, Terence Tao
Let be a finite collection of sets (or "clusters"). We consider the problem of counting the number of ways a cluster can be partitioned into two disjoint clusters $A_…
Some remarks on the lonely runner conjecture
Terence Tao
The lonely runner conjecture of Wills and Cusick, in its most popular formulation, asserts that if runners with distinct constant speeds run around a unit circle ${\bf R}/{\bf…