Bounded Gaps Between Products of Distinct Primes

Yang P. Liu; Peter S. Park; Zhuo Qun Song

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arXiv · 1607.03887

Bounded Gaps Between Products of Distinct Primes

Yang P. Liu·Peter S. Park·Zhuo Qun Song

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Abstract

Let $r \ge 2$ 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.

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Yang P. Liu, Peter S. Park, Zhuo Qun Song. 2016-07-13. Bounded Gaps Between Products of Distinct Primes. https://arxiv.org/abs/1607.03887

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