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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.14/1195062
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- Title
- Almost primes of the form ⌊pc⌋
- Related
- Indagationes mathematicae, Vol. 27, Issue 2, (2016), p.423-436
- Funding Body
- ARC
- Grant URL
- http://purl.org/au-research/grants/arc/DP130100237
- Grant URL
- http://purl.org/au-research/grants/arc/DP140100118
- DOI
- 10.1016/j.indag.2015.10.002
- Publisher
- Elsevier BV
- Date
- 2016
- Author/Creator
- Banks, William D
- Author/Creator
- Guo, Victor Z
- Author/Creator
- Shparlinski, Igor E
- Description
- Let ℙc=(⌊pc⌋)p∈ℙ with c>1 and c∉ℕ, where ℙ is the set of prime numbers, and ⌊.⌋ is the floor function. We show that for every such c there are infinitely many members of ℙc having at most R(c) prime factors, giving explicit estimates for R(c) when c is near one and also when c is large.
- Description
- 14 page(s)
- Subject Keyword
- Piatetski-Shapiro sequences
- Subject Keyword
- primes
- Resource Type
- journal article
- Organisation
- Macquarie University. Department of Computing
- Identifier
- http://hdl.handle.net/1959.14/1195062
- Identifier
- mq:61501
- Identifier
- ISSN:0019-3577
- Identifier
- mq-rm-2014006796
- Identifier
- mq_res-se-547964
- Language
- eng
- Reviewed
Macquarie University ResearchOnline
