scholarly journals Complete solutions of the simultaneous Pell equations $ (a^2+1)y^2-x^2 = y^2-bz^2 = 1 $

2021 ◽  
Vol 6 (9) ◽  
pp. 9919-9938
Author(s):  
Changsheng Luo ◽  
◽  
Jiagui Luo
Keyword(s):  
Pell Equations ◽  
Simultaneous Pell Equations ◽  
Complete Solutions

scholarly journals On the number of solutions of simultaneous Pell equations

2002 ◽  
Vol 101 (3) ◽  
pp. 215-221 ◽  
Author(s):  
Pingzhi Yuan
Keyword(s):  
Number Of Solutions ◽  
Pell Equations ◽  
Simultaneous Pell Equations

Common Solutions of Two Simultaneous Pell Equations

1922 ◽  
Vol 23 (4) ◽  
pp. 307 ◽  
Author(s):  
A. Arwin
Keyword(s):  
Pell Equations ◽  
Simultaneous Pell Equations

scholarly journals Solving Families of Simultaneous Pell Equations

1997 ◽  
Vol 67 (2) ◽  
pp. 246-251 ◽  
Author(s):  
Michael A Bennett
Keyword(s):  
Pell Equations ◽  
Simultaneous Pell Equations

A note on the simultaneous Pell equations $$x^2-(a^2-1)y^2=1$$ and $$y^2-bz^2=1$$

2020 ◽  
Vol 81 (2) ◽  
pp. 234-238
Author(s):  
Xing-Wang Jiang
Keyword(s):  
Pell Equations ◽  
Simultaneous Pell Equations

On the determination of solutions of simultaneous Pell equations $$x^{2}-(a^{2}-1)y^{2}=y^{2}-pz^{2}=1$$ x 2 - ( a 2 - 1 ) y 2 = y 2 - p z 2 = 1

2017 ◽  
Vol 75 (2) ◽  
pp. 336-344
Author(s):  
Refik Keskin ◽  
Olcay Karaatlı ◽  
Zafer Şiar ◽  
Ümmügülsüm Öğüt
Keyword(s):  
Pell Equations ◽  
Simultaneous Pell Equations

scholarly journals On two classes of simultaneous Pell equations with no solutions

1999 ◽  
Vol 68 (225) ◽  
pp. 385-389 ◽  
Author(s):  
P. G. Walsh
Keyword(s):  
Pell Equations ◽  
Simultaneous Pell Equations

A note on the simultaneous Pell equations x^2-24y^2=1 and y^2-pz^2=1

2016 ◽  
Vol 5 ◽  
pp. 27-32
Author(s):  
Liqun Tao
Keyword(s):  
Pell Equations ◽  
Simultaneous Pell Equations
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