Bounded gaps between products of distinct primes

Let r ≥ 2 be an integer. We adapt the Maynard–Tao sieve to produce the asymptotically best-known bounded gaps between products of r distinct primes. Our result applies to positive-density subsets of the primes that satisfy certain equidistribution conditions. This improves on the work of Thorne and...

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Détails bibliographiques
Auteurs principaux: Liu, Yang, Park, Peter S., Song, Zhuo Qun
Autres auteurs: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Langue:English
Publié: Springer 2018
Accès en ligne:http://hdl.handle.net/1721.1/114616
Description
Résumé:Let r ≥ 2 be an integer. We adapt the Maynard–Tao sieve to produce the asymptotically best-known bounded gaps between products of r distinct primes. Our result applies to positive-density subsets of the primes that satisfy certain equidistribution conditions. This improves on the work of Thorne and Sono.