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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 \[ (r^4 + s^4) x^4 - y^4 = z^2 \quad\text{und}\quad (r^4 - s^4) x^4 + y^4 = z^2. \]
openaire   +3 more sources

Diophantine m-Tuples in Finite Fields and Modular Forms

Research in Number Theory, 2021
Andrej Dujella, Matija Kazalicki
exaly  

DIOPHANTINE SETS

Russian Mathematical Surveys, 1972
openaire   +2 more sources

The Extensibility of Diophantine Pairs {k−1,k+1}

Journal of Number Theory, 2008
Yasutsugu Fujita
exaly  

Any Diophantine Quintuple Contains a Regular Diophantine Quadruple

Journal of Number Theory, 2009
Yasutsugu Fujita
exaly  

An Absolute Bound for the Size of Diophantine m-Tuples

Journal of Number Theory, 2001
Andrej Dujella
exaly  

Diophantine Approximation on Linear Algebraic Groups

Grundlehren Der Mathematischen Wissenschaften in Einzeldarstellungen Mit Besonderer Berücksichtigung Der Anwendungsgebiete, 2000
Michel Waldschmidt
exaly  

On the Number of Diophantine m-Tuples

Ramanujan Journal, 2008
Andrej Dujella
exaly  

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