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Bounded Gaps Between Products of Distinct Primes (1607.03887v3)
Published 13 Jul 2016 in math.NT
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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