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Levels of Distribution and the Affine Sieve

Alex Kontorovich — 2014

Annales de la faculté des sciences de Toulouse Mathématiques

We discuss the notion of a “Level of Distribution” in two settings. The first deals with primes in progressions, and the role this plays in Yitang Zhang’s theorem on bounded gaps between primes. The second concerns the Affine Sieve and its applications.

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