A note on the ternary Diophantine equation x 2 − y 2 m = z n
Analele Universitatii "Ovidius" Constanta - Seria Matematica（2021）
Abstract
Abstract Let ℕ be the set of all positive integers. In this paper, using some known results on various types of Diophantine equations, we solve a couple of special cases of the ternary equation x2 − y2m = zn , x, y, z, m, n ∈ ℕ, gcd(x, y) = 1, m ≥ 2, n ≥ 3.
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Key words
ternary diophantine equation
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