Equations Related to the Sum and Product of the Fibonacci Numbers: Annual Meeting in Mathematics 2024

Aram Tangboonduangjit; Shayathorn Wanasawat

Equations Related to the Sum and Product of the Fibonacci Numbers

Annual Meeting in Mathematics 2024

Authors

Aram Tangboonduangjit
Shayathorn Wanasawat Thammasat University

Keywords:

Fibonacci number, Lucas number, Zeckendorf decomposition, Diophantine equation

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.

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Published

2025-03-31

How to Cite

Tangboonduangjit, A., & Wanasawat, S. (2025). Equations Related to the Sum and Product of the Fibonacci Numbers: Annual Meeting in Mathematics 2024. Thai Journal of Mathematics, 23(1), 165–175. Retrieved from https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/1772