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A Class of Diophantine Equations

The Mathematical Gazette, 1938
The 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

1953
Verschiedene 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

2004
34.1. 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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A Diophantine Equation

Journal of the London Mathematical Society, 1968
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Cremona's Diophantine Equations

American Journal of Mathematics, 1934
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On the diophantine equation x 2 + 2 a · 19 b = y n

Indian Journal of Pure and Applied Mathematics, 2012
Maciej Ulas   +2 more
exaly  

Diophantine equation X 4+Y 4 = 2(U 4 + V 4)

Mathematica Slovaca, 2016
Farzali Izadi
exaly  

On the Diophantine equationx2+C=ynforC= 2a3b17candC= 2a13b17c

Mathematica Slovaca, 2016
Alain Togbé, Hemar Godinho
exaly  

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