On elliptic diophantine equations that defy Thue's method: The case of the Ochoa curve.
Stroeker, Roel J., de Weger, Benjamin M.M. (1994)
Experimental Mathematics
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Displaying similar documents to “Solving elliptic diophantine equations avoiding Thue equations and elliptic logarithms.”
On elliptic diophantine equations that defy Thue's method: The case of the Ochoa curve.
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J. Coates (1970)
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H. Kleiman (1976)
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Jianhua Chen (2001)
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Levesque, C. (2003)
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On the diophantine equation f(x)f(y) = f(z)²
Maciej Ulas (2007)
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Let f ∈ ℚ [X] and deg f ≤ 3. We prove that if deg f = 2, then the diophantine equation f(x)f(y) = f(z)² has infinitely many nontrivial solutions in ℚ (t). In the case when deg f = 3 and f(X) = X(X²+aX+b) we show that for all but finitely many a,b ∈ ℤ satisfying ab ≠ 0 and additionally, if p|a, then p²∤b, the equation f(x)f(y) = f(z)² has infinitely many nontrivial solutions in rationals.
On the Diophantine equation (x² ± C)(y² ± D) = z⁴
Pingzhi Yuan, Jiagui Luo (2010)
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Simultaneous Pell equations
Pingzhi Yuan (2004)
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