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math.NT2011
Distjointness of Mobius from horocycle flows
Jean Bourgain, Peter Sarnak, Tamar Ziegler
We formulate and prove a finite version of Vinogradov's bilinear sum inequality. We use it together with Ratner's joinings theorems to prove that the Mobius function is disjoint fr…
math.CO2011★ 5 cited
The inverse conjecture for the Gowers norm over finite fields in low characteristic
Terence Tao, Tamar Ziegler
We establish the \emph{inverse conjecture for the Gowers norm over finite fields}, which asserts (roughly speaking) that if a bounded function $f: V \to \C$ on a finite-dimensional…