Tamar Ziegler

activity

20102017

most citedAn inverse theorem for the Gowers U^{s+1}[N]-norm (announcement)

15 citations · 16 across the 4 of their papers we have counts for

collaborators

4 papers

math.NT2017

On the bias of cubic polynomials

David Kazhdan, Tamar Ziegler

Let $V$ be a vector space over a finite field $k = F_{q}$ of dimension $n$ . For a polynomial $P : V \to k$ we define the bias of $P$ to be $$b_1(P)=\frac {|\sum _{v\in V}ψ(P(V))…

math.NT2014

Narrow progressions in the primes

Terence Tao, Tamar Ziegler

In a previous paper of the authors, we showed that for any polynomials $P_{1}, \dots, P_{k} \in Z [m]$ with $P_{1} (0) = \dots = P_{k} (0)$ and any subset $A$ of the primes in $[N] = \{1,…

math.NT2014★ 1 cited

Linear equations in primes and dynamics of nilmanifolds

Tamar Ziegler

We survey some of the ideas behind the recent developments in additive number theory, combinatorics and ergodic theory leading to the proof of Hardy- Littlewood type estimates for…

math.NT2010★ 15 cited

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…