Metallic means and Pythagorean triples - Inria - Institut national de recherche en sciences et technologies du numérique
Article Dans Une Revue Notes on Number Theory and Discrete Mathematics Année : 2024

Metallic means and Pythagorean triples

Chetansing Rajput
Hariprasad Manjunath

Résumé

In this article, we study the connection between Pythagorean triples and metallic means. We derive several interconnecting identities between different metallic means. We study the Pythagorean triples in the three-term recurrent sequences corresponding to different metallic means. Further, we relate different families of primitive Pythagorean triples to the corresponding metallic means.

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hal-04811668 , version 1 (29-11-2024)

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Chetansing Rajput, Hariprasad Manjunath. Metallic means and Pythagorean triples. Notes on Number Theory and Discrete Mathematics, 2024, 30 (1), pp.184-194. ⟨10.7546/nntdm.2024.30.1.184-194⟩. ⟨hal-04811668⟩
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