Obstructions to Uniformity and Arithmetic Patterns in the Primes
Obstructions to Uniformity and Arithmetic Patterns in the Primes
In this expository article, we describe the recent approach, motivated by ergodic theory, towards detecting arithmetic patterns in the primes, and in particular establishing in [26] that the primes contain arbitrarily long arithmetic progressions.One of the driving philosophies is to identify precisely what the obstructions could be that prevent the …