On the unique solvability of the simultaneous Pell equations x2 − a y2 = 1 and z2 − b x2 = 1

2026/07/01 by Tobias Hilgart, Volker Ziegler
Physics and Astronomy · Mathematics · #Nonlinear Waves and Solitons #Advanced Differential Equations and Dynamical Systems #Differential Equations and Boundary Problems

paper · doi:10.1016/j.jnt.2026.06.006

Citations

• Complete solutions of the simultaneous Pell equations x 2 − 24 y 2 = 1 and y 2 − p z 2 = 1
• On the number of solutions to systems of Pell equations
• Simultaneous Pell Equations
• On the number of solutions of 𝑥²-4𝑚(𝑚+1)𝑦²=𝑦²-𝑏𝑧²=1