Geodesic
A higher rank Selberg sieve and applications
Czechoslovak Mathematical Journal, Tome 68 (2018) no. 1, pp. 169-193.

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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.
DOI : 10.21136/CMJ.2017.0410-16
Classification : 11N05, 11N35, 11N36
Keywords: Selberg sieve; bounded gaps; prime $k$-tuples 
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Vatwani, Akshaa. A higher rank Selberg sieve and applications. Czechoslovak Mathematical Journal, Tome 68 (2018) no. 1, pp. 169-193. doi : 10.21136/CMJ.2017.0410-16. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2017.0410-16/

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