scientific article; zbMATH DE number 1985590
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Publication:4429273
zbMath1024.11014MaRDI QIDQ4429273
Publication date: 25 September 2003
Full work available at URL: https://eudml.org/doc/23820
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Quadratic and bilinear Diophantine equations (11D09) Cubic and quartic Diophantine equations (11D25)
Related Items (13)
\(D(-1)\)-triples of the form \(\{1,b,c\}\) in the ring \(\mathbb Z[\sqrt{-t}\), \(t>0\)] ⋮ The extension of the \(D(-k^2)\)-pair \(\left\{k^2, k^2+1\right\}\) ⋮ The extension of the \(D(-k)\)-pair \(\{k,k+1\}\) to a quadruple ⋮ On the \(D(- 1)\)-triple \(\{ 1,k^{2}+1,k^{2}+2k+2\}\) and its unique \(D(1)\)-extension ⋮ A polynomial variant of a problem of Diophantus and Euler ⋮ On \(D(-1)\)-quadruples ⋮ Extensions of the \(D(\mp k^2)\)-triples \(\{k^2,k^2 \pm 1, 4k^2 \pm 1\}\) ⋮ On the number of solutions to systems of Pell equations ⋮ The extendibility of Diophantine pairs with property $D(-1)$ ⋮ Unnamed Item ⋮ A system of Pellian equations and related two-parametric family of quartic Thue equations ⋮ The Hoggatt-Bergum conjecture on \(D(-1)\)-triples \(\{F_{2k+1}\), \(F_{2k+3}\), \(F_{2k+5}\}\) and integer points on the attached elliptic curves ⋮ An absolute bound for the size of Diophantine \(m\)-tuples
Cites Work
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- The simultaneous diophantine equations \(5Y^ 2-20=X^ 2\) and \(2Y^ 2+1=Z^ 2\)
- On \(k\)-triad sequences
- On the number of solutions of simultaneous Pell equations II
- Sets in Which xy + k is Always a Square
- A proof of the Hoggatt-Bergum conjecture
- Simultaneous rational approximations and related diophantine equations
- Generalization of a problem of Diophantus
- Solving constrained Pell equations
- Lucas and fibonacci numbers and some diophantine Equations
- Contributions to the theory of Diophantine equations II. The Diophantine equation y 2 = x 3 + k
- THE EQUATIONS 3x2−2 = y2 AND 8x2−7 = z2
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