Açık Akademik Arşiv Sistemi

k-Generalized Pell Numbers Which are Concatenation of Two Repdigits

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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


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