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

Künye