On solutions of the simultaneous {P}ell equations {\(x^2-(a^2-1)y^2=1\)} and {\(y^2-pz^2=1\)}
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Publication:1701359
DOI10.1007/s10998-016-0137-0zbMath1399.11101OpenAlexW2489671667MaRDI QIDQ1701359
Publication date: 22 February 2018
Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10998-016-0137-0
Exponential Diophantine equations (11D61) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)
Related Items
On simultaneous Pell equations \(x^{2}-(a^{2}-1)y^{2}=1\) and \(y^{2}-pz^{2}=1\) ⋮ Complete solutions of the simultaneous Pell equations \((a^2+1)y^2-x^2 = y^2-bz^2 = 1\) ⋮ On the determination of solutions of simultaneous Pell equations \(x^2 - (a^2 - 1) y^2 = y^2 - pz^2 = 1\) ⋮ On the solvability of the simultaneous Pell equations x2 − ay2 = 1 and y2 − bz2 = v12 ⋮ Explicit formula for the solution of simultaneous Pell equations 𝑥²-(𝑎²-1)𝑦²=1, 𝑦²-𝑏𝑧²=1
Cites Work
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- On the number of solutions to systems of Pell equations
- On squares in certain Lucas sequences
- On the number of solutions of $x^2-4m(m+1)y^2=y^2-bz^2=1$
- Simultaneous Pell equations
- On the number of solutions of simultaneous Pell equations
