276 citations · 4.5k across the 293 of their papers we have counts for
Showing 2004 · math.NTShow all
3 papers · 2 filters
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…
math.NT2004★ 36 cited
The primes contain arbitrarily long arithmetic progressions
Ben Green, Terence Tao
We prove that there are arbitrarily long arithmetic progressions of primes. There are three major ingredients. The first is Szemeredi's theorem, which asserts that any subset of th…