Bounded gaps between products of distinct primes
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...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
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Springer
2018
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| Online Access: | http://hdl.handle.net/1721.1/114616 |
| _version_ | 1826208023716036608 |
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| author | Liu, Yang Park, Peter S. Song, Zhuo Qun |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Liu, Yang Park, Peter S. Song, Zhuo Qun |
| author_sort | Liu, Yang |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T13:59:10Z |
| format | Article |
| id | mit-1721.1/114616 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T13:59:10Z |
| publishDate | 2018 |
| publisher | Springer |
| record_format | dspace |
| spelling | mit-1721.1/1146162024-07-15T17:43:01Z Bounded gaps between products of distinct primes Liu, Yang Park, Peter S. Song, Zhuo Qun Massachusetts Institute of Technology. Department of Mathematics Liu, Yang 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. National Science Foundation (U.S.) (Grant DMS-1557960) 2018-04-09T14:04:30Z 2018-04-09T14:04:30Z 2017-12 2016-07 2017-12-01T04:54:07Z Article http://purl.org/eprint/type/JournalArticle 2363-9555 http://hdl.handle.net/1721.1/114616 Liu, Yang et al. "Bounded gaps between products of distinct primes." Research in Number Theory 3 (December 2017): 26 © The Author(s) 2017 en http://dx.doi.org/10.1007/s40993-017-0089-3 Research in Number Theory Creative Commons Attribution http://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Springer International Publishing |
| spellingShingle | Liu, Yang Park, Peter S. Song, Zhuo Qun Bounded gaps between products of distinct primes |
| title | Bounded gaps between products of distinct primes |
| title_full | Bounded gaps between products of distinct primes |
| title_fullStr | Bounded gaps between products of distinct primes |
| title_full_unstemmed | Bounded gaps between products of distinct primes |
| title_short | Bounded gaps between products of distinct primes |
| title_sort | bounded gaps between products of distinct primes |
| url | http://hdl.handle.net/1721.1/114616 |
| work_keys_str_mv | AT liuyang boundedgapsbetweenproductsofdistinctprimes AT parkpeters boundedgapsbetweenproductsofdistinctprimes AT songzhuoqun boundedgapsbetweenproductsofdistinctprimes |