Bounded gaps between products of distinct primes
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40993_2017_Article_89.pdf
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Author(s)
Liu, Yang
Park, Peter S.
Song, Zhuo Qun
Date Issued
December 2017
Journal
Research in Number Theory
Publisher
Springer
Citation
Liu, Yang et al. "Bounded gaps between products of distinct primes." Research in Number Theory 3 (December 2017): 26 © The Author(s) 2017
Version
Final published version
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1007/s40993-017-0089-3
