Arithmetic progressions and the primes - El Escorial lectures

Mathematics – Number Theory

Scientific paper

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

Scientific paper

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.

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