Primes with preassigned digits II
Glyn Harman, Imre Kátai (2008)
Acta Arithmetica
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Displaying similar documents to “Primes in tuples IV: Density of small gaps between consecutive primes”
Primes with preassigned digits II
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We implement the Maynard-Tao method of detecting primes in tuples to investigate small gaps between primes in arithmetic progressions, with bounds that are uniform over a range of moduli.
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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.
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