Bounded Gaps Between Products of Distinct Primes

2016/07/13 by Liu, Yang P., Park, Peter S., Song, Zhuo Qun
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1607.03887

Abstract

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.

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