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...

Полное описание

Библиографические подробности
Главные авторы: Liu, Yang, Park, Peter S., Song, Zhuo Qun
Другие авторы: Massachusetts Institute of Technology. Department of Mathematics
Формат: Статья
Язык:English
Опубликовано: Springer 2018
Online-ссылка:http://hdl.handle.net/1721.1/114616
Описание
Итог: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.