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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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Diophantine m-Tuples in Finite Fields and Modular Forms
Research in Number Theory, 2021Andrej Dujella, Matija Kazalicki
exaly
The Extensibility of Diophantine Pairs {k−1,k+1}
Journal of Number Theory, 2008Yasutsugu Fujita
exaly
Any Diophantine Quintuple Contains a Regular Diophantine Quadruple
Journal of Number Theory, 2009Yasutsugu Fujita
exaly
An Absolute Bound for the Size of Diophantine m-Tuples
Journal of Number Theory, 2001Andrej Dujella
exaly
Diophantine Approximation on Linear Algebraic Groups
Grundlehren Der Mathematischen Wissenschaften in Einzeldarstellungen Mit Besonderer Berücksichtigung Der Anwendungsgebiete, 2000Michel Waldschmidt
exaly

