Displaying similar documents to “A note on Jeśmanowicz' conjecture concerning primitive Pythagorean triplets”

Diophantine Equations in Low Dimensions

Enrico Bombieri (2000)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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This lecture is a survey of recent results in the theory of diophantine equations, especially for dimension 1. The unit equation and its generalizations are examined in detail, as well as Baker's theory and the consequences of the abc-conjecture.

On A² ± nB⁴ + C⁴ = D⁸

Susil Kumar Jena (2014)

Colloquium Mathematicae

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We prove that for each n ∈ ℕ₊ the Diophantine equation A² ± nB⁴ + C⁴ = D⁸ has infinitely many primitive integer solutions, i.e. solutions satisfying gcd(A,B,C,D) = 1.