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On exponential densities and limit ratios of subsets of N
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dc.contributor.author | Li, J. | |
dc.contributor.author | Olsen, L. | |
dc.date.accessioned | 2020-07-01T16:30:03Z | |
dc.date.available | 2020-07-01T16:30:03Z | |
dc.date.issued | 2020-06-28 | |
dc.identifier.citation | Li , J & Olsen , L 2020 , ' On exponential densities and limit ratios of subsets of N ' , Mediterranean Journal of Mathematics , vol. 17 , 122 . https://doi.org/10.1007/s00009-020-01559-7 | en |
dc.identifier.issn | 1660-5446 | |
dc.identifier.other | PURE: 268530542 | |
dc.identifier.other | PURE UUID: 8753949d-9431-4214-8151-9ad2271564e6 | |
dc.identifier.other | ORCID: /0000-0002-8353-044X/work/76777164 | |
dc.identifier.other | WOS: 000543710800001 | |
dc.identifier.other | Scopus: 85087026957 | |
dc.identifier.uri | http://hdl.handle.net/10023/20188 | |
dc.description | Funding: National Natural Science Foundation of China (11671189,11971109). | en |
dc.description.abstract | Given α,β,γ∈[0,1] with α≤β, we prove that there exists a subset of N such that its lower and upper exponential densities and its lower and upper limit ratios are equal to α, β, γ and 1, respectively. This result provides an affirmative answer to an open problem posed by Grekos et al. (Unif Distrib Theory 6:117–130, 2011). | |
dc.format.extent | 17 | |
dc.language.iso | eng | |
dc.relation.ispartof | Mediterranean Journal of Mathematics | en |
dc.rights | Copyright © The Author(s) 2020. Open Access. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. | en |
dc.subject | Positive integer sequence | en |
dc.subject | Exponential densities | en |
dc.subject | Limit ratios | en |
dc.subject | QA Mathematics | en |
dc.subject | T-NDAS | en |
dc.subject.lcc | QA | en |
dc.title | On exponential densities and limit ratios of subsets of N | en |
dc.type | Journal article | en |
dc.description.version | Publisher PDF | en |
dc.contributor.institution | University of St Andrews. Pure Mathematics | en |
dc.identifier.doi | https://doi.org/10.1007/s00009-020-01559-7 | |
dc.description.status | Peer reviewed | en |
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