k-generalized fibonacci numbers close to the form 2a + 3b + 5c
Küçük Resim Yok
Tarih
2017
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univerzita Komenskeho
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The k-generalized Fibonacci sequence (formula presented) 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 (formula presented), where a, b, c and ? are nonnegative integers with max {a, b} ? c and 0 ? ? ? 5. This work generalizes a recent Marques [9] and the first author, Szalay [6] results. © 2017, Univerzita Komenskeho. All rights reserved.
Açıklama
Anahtar Kelimeler
k-generalized Fibonacci sequence, Linear forms in logarithms, Reduction method
Kaynak
Acta Mathematica Universitatis Comenianae
WoS Q Değeri
Scopus Q Değeri
Q3
Cilt
86
Sayı
2
