119 citations · 463 across the 37 of their papers we have counts for
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math.NT2005★ 4 cited
Obstructions to uniformity, and arithmetic patterns in the primes
Terence Tao
In this expository article, we describe the recent approach, motivated by ergodic theory, towards detecting arithmetic patterns in the primes, and in particular establishing that t…
math.NT2004★ 5 cited
Arithmetic progressions and the primes - El Escorial lectures
Terence Tao
We describe some of the machinery behind recent progress in establishing infinitely many arithmetic progressions of length in various sets of integers, in particular in arbitra…
math.NT2004
Restriction theory of the Selberg sieve, with applications
Ben Green, Terence Tao
The Selberg sieve provides majorants for certain arithmetic sequences, such as the primes and the twin primes. We prove an L^2-L^p restriction theorem for majorants of this type. A…