Integer points on the elliptic curve with Fibonacci numbers

Jinseo Park ()
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Jinseo Park: Catholic Kwandong University

Indian Journal of Pure and Applied Mathematics, 2024, vol. 55, issue 2, 480-488

Abstract: Abstract A set $$\{a_1, a_2, \dots , a_m\}$$ { a 1 , a 2 , ⋯ , a m } of positive integers is called Diophantine m-tuple if $$a_ia_j+1$$ a i a j + 1 is a perfect square for all $$1\le i

Keywords: Diophantine m-tuple; Fibonacci numbers; Elliptic curve; Primary 11B39; 11G05; 11D09; Secondary 11D45 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s13226-023-00378-2

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