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A Class of Diophantine Equations
The Mathematical Gazette, 1938The general solution in positive integers of the equation (1) 2 a(x 2 − y 2 ) + l = z 2 where
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Notes on diophantine equations
1953Verschiedene Bemerkungen und Parameterlösungen zu den Diophantischen Gleichungen \[ x^2+ y^2 + z^2 = 1, \quad A(x^2+ y^2 + z^2) = B(xy + x z + yz), \] und \[ (r^4 + s^4) x^4 - y^4 = z^2 \quad\text{und}\quad (r^4 - s^4) x^4 + y^4 = z^2. \]
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Quadratic Diophantine Equations
200434.1. We take a nondegenerate quadratic space \((V,\,{\varphi})\) of dimension \(\,n\,\) over a local or global field F in the sense of §21.1.
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Transcendental representation of Diophantine equation and some of its inherent properties
Materials Today: Proceedings, 2023K Sridevi
exaly
On the diophantine equation x 2 + 2 a · 19 b = y n
Indian Journal of Pure and Applied Mathematics, 2012Maciej Ulas +2 more
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On the Diophantine equationx2+C=ynforC= 2a3b17candC= 2a13b17c
Mathematica Slovaca, 2016Alain Togbé, Hemar Godinho
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