Abstract Let $$r ge 2$$ 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.
展开▼
机译：摘要令$$ r ge 2 $$ r≥2为整数。我们采用Maynard-Tao筛子在r个不同素数的乘积之间产生渐近最著名的有界间隙。我们的结果适用于满足某些等分分布条件的素数的正密度子集。这改善了索恩和索诺的工作。
展开▼
