136 citations · 534 across the 27 of their papers we have counts for
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An inverse theorem for the Gowers U^{s+1}[N]-norm
Ben Green, Terence Tao, Tamar Ziegler
We prove the inverse conjecture for the Gowers U^{s+1}[N]-norm for all s >= 3; this is new for s > 3, and the cases s<3 have also been previously established. More precisely, we es…
The shifted primes and the multidimensional Szemeredi and polynomial van der Waerden theorems
Vitaly Bergelson, Alexander Leibman, Tamar Ziegler
In this short note we establish new refinements of multidimensional Szemeredi and polynomial van der Waerden theorems along the shifted primes.
An inverse theorem for the Gowers U^{s+1}[N]-norm (announcement)
Ben Green, Terence Tao, Tamar Ziegler
In this note we announce the proof of the inverse conjecture for the Gowers U^{s+1}[N]-norm for all s => 3; this is new for s => 4, the cases s = 1,2,3 having been previously estab…
Multiple recurrence and convergence along the primes
Trevor D. Wooley, Tamar D. Ziegler
Let be a set of positive upper density. Suppose that are polynomials having zero constant terms. We show that the set $E\cap…