On exponential densities and limit ratios of subsets of N

Li, J.; Olsen, L.

Show simple item record

Files in this item

Name:: Li_2020_MJM_Exponential_CC.pdf
Size:: 357.7Kb
Format:: PDF

View/Open

Item metadata

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	268530542
dc.identifier	8753949d-9431-4214-8151-9ad2271564e6
dc.identifier	000543710800001
dc.identifier	85087026957
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	ORCID: /0000-0002-8353-044X/work/76777164
dc.identifier.uri	https://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.format.extent	366370
dc.language.iso	eng
dc.relation.ispartof	Mediterranean Journal of Mathematics	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.contributor.institution	University of St Andrews. Pure Mathematics	en
dc.identifier.doi	10.1007/s00009-020-01559-7
dc.description.status	Peer reviewed	en

This item appears in the following Collection(s)

University of St Andrews Research

Show simple item record