Please use this identifier to cite or link to this item:
https://open.uns.ac.rs/handle/123456789/18128
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Bašić Bojan | - |
dc.date.accessioned | 2020-12-13T12:27:58Z | - |
dc.date.available | 2020-12-13T12:27:58Z | - |
dc.date.issued | 2016 | - |
dc.identifier.issn | 0022-314X | - |
dc.identifier.uri | https://open.uns.ac.rs/handle/123456789/18128 | - |
dc.description.abstract | © 2016 Elsevier Inc. In a recent work, Luca and Stănică examined quotients of the form φ(Cm)φ(Cn), where φ is Euler's totient function and C0,C1,C2… is the sequence of the Catalan numbers. They observed that the number 4 (and analogously 14) appears noticeably often as a value of these quotients. We give an explanation of this phenomenon, based on Dickson's conjecture. It turns out not only that the value 4 is (in a certain sense) special in relation to the quotients φ(Cn+1)φ(Cn), but also that the value 4k has similar “special” properties with respect to the quotients φ(Cn+k)φ(Cn), and in particular we show that Dickson's conjecture implies that, for each k, the number 4k appears infinitely often as a value of the quotients φ(Cn+k)φ(Cn). | - |
dc.language.iso | en | - |
dc.relation.ispartof | Journal of Number Theory | - |
dc.source | CRIS UNS | - |
dc.source.uri | http://cris.uns.ac.rs | - |
dc.title | On quotients of values of Euler's function on the Catalan numbers | - |
dc.type | Journal/Magazine Article | - |
dc.identifier.doi | 10.1016/j.jnt.2016.05.023 | - |
dc.identifier.scopus | 2-s2.0-84978924822 | - |
dc.identifier.url | https://www.cris.uns.ac.rs/record.jsf?recordId=105795&source=BEOPEN&language=en | - |
dc.relation.lastpage | 173 | - |
dc.relation.firstpage | 160 | - |
dc.relation.volume | 169 | - |
dc.identifier.externalcrisreference | (BISIS)105795 | - |
item.grantfulltext | none | - |
item.fulltext | No Fulltext | - |
crisitem.author.dept | Prirodno-matematički fakultet, Departman za matematiku i informatiku | - |
crisitem.author.orcid | 0000-0002-1607-7139 | - |
crisitem.author.parentorg | Prirodno-matematički fakultet | - |
Appears in Collections: | PMF Publikacije/Publications |
SCOPUSTM
Citations
3
checked on Sep 9, 2023
Page view(s)
27
Last Week
10
10
Last month
0
0
checked on May 10, 2024
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.