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Fibonacci Numbers that Are $$\eta$$-concatenations of Leonardo and Lucas Numbers

Proceedings of the Bulgarian Academy of Sciences
Let $$\{F_{r}\}_{r\geq0}$$, $$\{L_{r}\}_{r\geq0}$$ and $$\{Le_{r}\}_{r\geq0}$$ be $$r$$-th terms of Fibonacci, Lucas and Leonardo sequences, respectively. In this paper, we determined the effective bounds for the solutions of the Diophantine equation $$F_{r}=\eta^{k}Le_{s}+L_{t}$$ in non-negative integers $$r$$, $$s$$, $$t$$, where $$k$$ represents the
Taher, Hunar Sherzad, Dash, Saroj Kumar
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Il Liber abaci di Leonardo Pisano, il Fibonacci, e l'ecdotica dei testi scientifici mediolatini

Vichiana, 2021
The Liber abaci by Leonardo Pisano, the Fibonacci, and the Ecdotics of Middle Latin Scientific Texts · The technical and scientific works are neglected by philologists and literary critics for their content and formal peculiarities, which require the development of specific skills, but they deserve a deeper attention for the reconstruction of a ...
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Le fonti di Leonardo Fibonacci [PDF]

open access: possible, 2016
Since the difficulty of the topic and the variety of the scientific works circulating in the XIII century, a complete list of the sources known and used by Fibonacci still lacks. The aim of this paper is to provide a preliminary list of the principal authors Fibonacci was acquainted with, in order to create a satisfying overview on his cultural ...
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Generalized Fibonacci–Leonardo numbers

Journal of Difference Equations and Applications, 2023
Urszula Bednarz   +1 more
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Leonardo Fibonacci

2013
Leonardo Pisano, noto anche come Fibonacci, fu il matematico più importante nell’Occidente Latino del 13° secolo. Le sue opere, che rappresentano una summa della matematica araba del 9° e 10° secolo, contribuirono in maniera determinante alla diffusione del sistema di numerazione posizionale con cifre indo-arabiche e alla formazione di un linguaggio ...
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L’opera scientifica di Leonardo Pisano, detto il Fibonacci, nella cultura italiana del XIII secolo

2021
L’intervento si divide in due parti. Nella prima parte G. Germano intende focalizzare l’attenzione sullo statuto delle opere a carattere tecnico-scientifico all’interno della produzione letteraria italiana del XIII secolo coi loro registri linguistici e stilistici.
Giuseppe Germano, NICOLETTA ROZZA
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On Leonardo Numbers and Fibonacci Fundamental System

2023
Elen Viviani Pereira Spreafico   +1 more
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