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A note on the ternary diophantine equation x2 - y2m = zn

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2021-01-01

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Ovidius Univ Press

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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 x(2) - y(2m) = z(n), x, y, z, m, n is an element of N, gcd(x, y) = 1, m >= 2, n >= 3.

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Higher diophantine equation, Exponential diophantine equation, Generalized fermat equation, Ternary equation, Science & technology, Physical sciences, Mathematics, applied, Mathematics, Mathematics

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