Repdigits basebas products of two Lucas numbers

dc.date.accessioned	2021-06-08T09:11:26Z
dc.date.available	2021-06-08T09:11:26Z
dc.identifier.issn	1607-3606
dc.identifier.uri	https://hdl.handle.net/20.500.12619/95926
dc.description	Bu yayının lisans anlaşması koşulları tam metin açık erişimine izin vermemektedir.
dc.description.abstract	Let (L-n) be the sequence of Lucas numbers defined byL(0)= 2, L-1= 1, andL(n)=Ln-1+L(n-2)forn >= 2. Let 0 <= m <= nandb= 2,3,4,5,6,7,8,9.In this study, we show that ifL(m)L(n)is a repdigit in the baseband has at least two digits, then LmLn is an element of {3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 28, 36, 54, 121, 228}. Furthermore, it is shown that ifL(n)is a repdigit in the baseband has at least two digits, then (n, b) = (2,2),(3,3),(4,6),(4,2),(6,5),(6,8). Namely, L-2= 3 = (11)(2),L-3= 4 = (11)(3),L-4= 7 = (11)(6) and L-4= 7 = (111)(2),L-6= 18 = (33)(5),L-6= 18 = (22)(8).
dc.language	English
dc.language.iso	eng
dc.publisher	NATL INQUIRY SERVICES CENTRE PTY LTD
dc.relation.isversionof	10.2989/16073606.2020.1787539
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	PELL
dc.subject	SUMS
dc.subject	FIBONACCI
dc.title	Repdigits basebas products of two Lucas numbers
dc.type	Article; Early Access
dc.relation.journal	QUAESTIONES MATHEMATICAE
dc.identifier.doi	10.2989/16073606.2020.1787539
dc.identifier.eissn	1727-933X
dc.contributor.author	Erduvan, Fatih
dc.contributor.author	Keskin, Refik
dc.contributor.author	Siar, Zafer
dc.relation.publicationcategory	Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı