Further results on the Diophantine equation 𝑥 2 + 16 ∙ 7 𝑏 = 𝑦 𝑛 when 𝑛 is even

This work extends the results for the Diophantine equation 𝑥 2 + 16 ∙ 7 𝑏 = 𝑦 𝑛 for 𝑛 = 2𝑟, where 𝑥, 𝑦, 𝑏, 𝑟 ∈ ℤ + . Earlier results classified the generators of solutions, which are the pair of integers (𝑥, 𝑦 𝑟 ), into several categories and presented the general formula that determines t...

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Bibliographic Details
Main Authors: Siti Hasana Sapar, Kai Siong Yow, Hoa Pham
Format: Article
Language:English
Published: Prince of Songkla University 2024-06-01
Series:Songklanakarin Journal of Science and Technology (SJST)
Subjects:
Online Access:https://sjst.psu.ac.th/journal/46-3/7.pdf
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