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A higher rank Selberg sieve and applications

Akshaa Vatwani (2018)

Czechoslovak Mathematical Journal

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.

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