Alex Kontorovich (2014)
Annales de la faculté des sciences de Toulouse Mathématiques
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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.
(2003)
Control and Cybernetics
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Somer, Lawrence
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We give a survey of the joint papers of Lawrence Somer and Michal Křížek and discuss the beginning of this collaboration.
(2004)
Control and Cybernetics
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(2009)
Control and Cybernetics
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Henryk Iwaniec (1980)
Acta Arithmetica
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Glyn Harman, Imre Kátai (2008)
Acta Arithmetica
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(2007)
Control and Cybernetics
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Akshaa Vatwani (2018)
Czechoslovak Mathematical Journal
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We develop an axiomatic formulation of the higher rank version of the classical Selberg sieve. This allows us to derive a simplified proof of the Zhang and Maynard-Tao result on bounded gaps between primes. We also apply the sieve to other subsequences of the primes and obtain bounded gaps in various settings.
Roger C. Baker, Liangyi Zhao (2016)
Acta Arithmetica
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We study the gaps between primes in Beatty sequences following the methods in the recent breakthrough by Maynard (2015).
(2010)
Control and Cybernetics
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