Equations Related to the Sum and Product of the Fibonacci Numbers

Aram Tangboonduangjit; Shayathorn Wanasawat

Equations Related to the Sum and Product of the Fibonacci Numbers

Aram Tangboonduangjit
, Shayathorn Wanasawat

Science Division

Thammasat University

Research output: Contribution to journal › Article › peer-review

Abstract

This study investigates expressing sums of two or three Fibonacci numbers as the product of two Fibonacci numbers, using Zeckendorf decomposition as the primary technique.

Original language	English
Pages (from-to)	165-175
Number of pages	11
Journal	Thai Journal of Mathematics
Volume	23
Issue number	1
Publication status	Published - Mar 2025

Keywords

Diophantine equation
Fibonacci number
Lucas number
Zeckendorf decomposition

Cite this

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Equations Related to the Sum and Product of the Fibonacci Numbers

Abstract

Keywords

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