k-GENERALIZED FIBONACCI NUMBERS CLOSE TO THE FORM 2a | 3b | 5c
Küçük Resim Yok
Tarih
2017
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Comenius Univ
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The k-generalized Fibonacci sequence {F-n((k))}(n >= 0) is defined as the sum of the k proceeding terms and initial conditions are 0, ..., 0, 1 (k terms). In this paper, we solve the diophantine equation F-n((k)) = 2(a) + 3(b) + 5(c) + delta, where a, b, c and delta are nonnegative integers with max {a, b} <= c and 0 <= delta <= 5. This work generalizes a recent Marques [9] and the first author, Szalay [6] results.
Açıklama
Anahtar Kelimeler
k-generalized Fibonacci sequence, linear forms in logarithms, reduction method
Kaynak
Acta Mathematica Universitatis Comenianae
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
86
Sayı
2
