dc.contributor.authors |
Siar, Zafer; Keskin, Refik |
|
dc.date.accessioned |
2022-12-20T13:24:54Z |
|
dc.date.available |
2022-12-20T13:24:54Z |
|
dc.date.issued |
2022 |
|
dc.identifier.issn |
1660-5446 |
|
dc.identifier.uri |
http://dx.doi.org/10.1007/s00009-022-02099-y |
|
dc.identifier.uri |
https://hdl.handle.net/20.500.12619/99084 |
|
dc.description |
Bu yayının lisans anlaşması koşulları tam metin açık erişimine izin vermemektedir. |
|
dc.description.abstract |
Let k >= 2 and let (P-n((k)))(n >= 2-k) be the k-generalized Pell sequence defined by P-n((k)) = 2P(n-1)((k)) + P-n-2((k)) + ... + P-n-k((k)) for n >= 2 with initial conditions P--(k-2)((k)) = P--(k-3)((k)) = ... = P--1((k)) = P-0((k) )= 0, P-1((k)) = 1. In this paper, we show that 12,13, 29, 33, 34, 70,84, 88, 89, 228, and 233 are the only k-generalized Pell numbers, which are concatenation of two repdigits with at least two digits. |
|
dc.language |
English |
|
dc.language.iso |
eng |
|
dc.relation.isversionof |
10.1007/s00009-022-02099-y |
|
dc.subject |
Mathematics |
|
dc.subject |
Repdigit |
|
dc.subject |
Fibonacci and Lucas numbers |
|
dc.subject |
exponential diophantine equations |
|
dc.subject |
linear forms in logarithms |
|
dc.subject |
Baker's method |
|
dc.title |
k-Generalized Pell Numbers Which are Concatenation of Two Repdigits |
|
dc.identifier.volume |
19 |
|
dc.relation.journal |
MEDITERRANEAN JOURNAL OF MATHEMATICS |
|
dc.identifier.issue |
4 |
|
dc.identifier.doi |
10.1007/s00009-022-02099-y |
|
dc.identifier.eissn |
1660-5454 |
|
dc.contributor.author |
Siar, Zafer |
|
dc.contributor.author |
Keskin, Refik |
|
dc.relation.publicationcategory |
Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı |
|