Results 201 to 210 of about 2,595 (231)

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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On the diophantine equation x 2 + 2 a · 19 b = y n

Indian Journal of Pure and Applied Mathematics, 2012
Gokhan Soydan, Maciej Ulas
exaly  

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

Mathematica Slovaca, 2016
Farzali Izadi
exaly  

On the Diophantine Equation z(n) = (2 − 1/k)n Involving the Order of Appearance in the Fibonacci Sequence

Mathematics, 2020
Eva Trojovská
exaly  

Cremona's Diophantine Equations

American Journal of Mathematics, 1934
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Exponential diophantine equations

Let \(\mathbb G\) be a commutative algebraic group over \(\mathbb C\), not containing any algebraic subgroup isomorphic to the additive group \(\mathbb G_ a\). Let \(\Gamma\) be a subgroup of \(\mathbb G(\mathbb C)\) of finite rank, that is, there is a finitely generated subgroup \(\Gamma'\) of \(\Gamma\) such that all elements of \(\Gamma/\Gamma ...
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On the Diophantine equationx2+C=ynforC= 2a3b17candC= 2a13b17c

Mathematica Slovaca, 2016
Hemar Godinho, Diego Marques, Alain Togbé   +2 more
exaly  

On the Diophantine equation $$\sum_{j=1}^{k}jP_j^p=P_n^q$$

Acta Mathematica Hungarica, 2020
exaly