Levels of Distribution and the Affine Sieve
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 23 (2014) no. 5, pp. 933-966.

Nous discutons de la notion de « Niveau de Distribution » dans deux contextes. Le premier concerne les nombres premiers en progression, et le rôle qu’elle joue dans le théorème de Yitang Zhang sur les écarts bornés entre nombres premiers. Le second concerne le Crible Affine et ses applications.

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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Kontorovich, Alex. Levels of Distribution and the Affine Sieve. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 23 (2014) no. 5, pp. 933-966. doi : 10.5802/afst.1432. http://www.numdam.org/articles/10.5802/afst.1432/

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