On the exponential Diophantine equation Fnx±Fmx= a with a∈{Fr, Lr}.

Z Şiar - International Journal of Number Theory, 2023 - search.ebscohost.com
In this paper, we will answer the question of when the sum or the difference of x th powers of
any two Fibonacci numbers becomes a Fibonacci number or a Lucas number. We prove that …

On the exponential Diophantine equation with

Z Şiar - International Journal of Number Theory, 2023 - World Scientific
In this paper, we will answer the question of when the sum or the difference of x th powers of
any two Fibonacci numbers becomes a Fibonacci number or a Lucas number. We prove that …

[PDF][PDF] A Diophantine equation including Fibonacci and Fibonomial coefficients

N Irmak - Communications Faculty of Sciences University of …, 2023 - dergipark.org.tr
A DIOPHANTINE EQUATION INCLUDING FIBONACCI AND FIBONOMIAL COEFFICIENTS 1.
Introduction For n ≥ 2, the Fibonacci sequence {F n} Page 1 Commun.Fac.Sci.Univ.Ank.Ser …

Mulatu Numbers Which Are Concatenation of Two Fibonacci Numbers

F Erduvan, MG Duman - Sakarya University Journal of Science, 2023 - dergipark.org.tr
Let (M_k) be the sequence of Mulatu numbers defined by M_0= 4, M_1= 1, M_k= M_ (k-1)+
M_ (k-2) and (F_k) be the Fibonacci sequence given by the recurrence F_k= F_ (k-1)+ F_ (k …

[PDF][PDF] Identities on generalized Fibonacci and Lucas numbers

KM Nagaraja, P Dhanya - mLn, 2020 - nntdm.net
In this article, the concepts of Fibonacci, Tribonacci, Lucas and Tetranacci numbers are
generalized as continued sum. The generalized Fibonacci identity is proved by using …

An exponential Diophantine equation related to the difference of powers of two Fibonacci numbers

Z Şiar - arXiv preprint arXiv:2002.03783, 2020 - arxiv.org
arXiv:2002.03783v1 [math.NT] 10 Feb 2020 Page 1 arXiv:2002.03783v1 [math.NT] 10 Feb
2020 An exponential Diophantine equation related to the difference of powers of two Fibonacci …

[引用][C] An exponential Diophantine equation related to the difference of powers of two Fibonacci numbers

Z Siar - arXiv preprint arXiv:2002.03783, 2020