Arithmetic progressions and the primes - El Escorial lectures

Abstract

We describe some of the machinery behind recent progress in establishing infinitely many arithmetic progressions of length $k$ in various sets of integers, in particular in arbitrary dense subsets of the integers, and in the primes.

38 pages, no figures, submitted, El Escorial conference proceedings. These lectures are oriented towards a harmonic analysis audience

References in corpus (1)

• A quantitative ergodic theory proof of Szemerédi's theorem