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Common Solutions of Two Simultaneous Pell Equations
Annals of Mathematics
◽
10.2307/1967756
◽
1922
◽
Vol 23
(4)
◽
pp. 307
◽
Cited By ~ 1
Author(s):
A. Arwin
Keyword(s):
Pell Equations
◽
Simultaneous Pell Equations
Download Full-text
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References
On the number of solutions of simultaneous Pell equations
Acta Arithmetica
◽
10.4064/aa101-3-2
◽
2002
◽
Vol 101
(3)
◽
pp. 215-221
◽
Cited By ~ 4
Author(s):
Pingzhi Yuan
Keyword(s):
Number Of Solutions
◽
Pell Equations
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Simultaneous Pell Equations
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Solving Families of Simultaneous Pell Equations
Journal of Number Theory
◽
10.1006/jnth.1997.2188
◽
1997
◽
Vol 67
(2)
◽
pp. 246-251
◽
Cited By ~ 5
Author(s):
Michael A Bennett
Keyword(s):
Pell Equations
◽
Simultaneous Pell Equations
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A note on the simultaneous Pell equations $$x^2-(a^2-1)y^2=1$$ and $$y^2-bz^2=1$$
Periodica Mathematica Hungarica
◽
10.1007/s10998-020-00334-1
◽
2020
◽
Vol 81
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◽
pp. 234-238
Author(s):
Xing-Wang Jiang
Keyword(s):
Pell Equations
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Explicit formula for the solution of simultaneous Pell equations $x^2-(a^2-1)y^2=1$, $y^2-bz^2=1$
Proceedings of the American Mathematical Society
◽
10.1090/proc/13802
◽
2017
◽
Vol 146
(3)
◽
pp. 983-992
◽
Cited By ~ 2
Author(s):
Mihai Cipu
Keyword(s):
Explicit Formula
◽
Pell Equations
◽
Simultaneous Pell Equations
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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
Periodica Mathematica Hungarica
◽
10.1007/s10998-017-0203-2
◽
2017
◽
Vol 75
(2)
◽
pp. 336-344
Author(s):
Refik Keskin
◽
Olcay Karaatlı
◽
Zafer Şiar
◽
Ümmügülsüm Öğüt
Keyword(s):
Pell Equations
◽
Simultaneous Pell Equations
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The Qu (2018) Conjectures, The Yang & Fu (2018) Conjectures, The Jiang (2020) Conjecture, The Tao (2016) Conjectures, The Cipu (2007) Conjecture, The Cipu & Mignotte (2007) Conjecture And The Simultaneous Pell Equations x2−(a2−1)y2=1 and y2−pz2=1
SSRN Electronic Journal
◽
10.2139/ssrn.3610352
◽
2020
◽
Author(s):
Michael C. I. Nwogugu
Keyword(s):
Pell Equations
◽
Simultaneous Pell Equations
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On two classes of simultaneous Pell equations with no solutions
Mathematics of Computation
◽
10.1090/s0025-5718-99-01048-0
◽
1999
◽
Vol 68
(225)
◽
pp. 385-389
◽
Cited By ~ 2
Author(s):
P. G. Walsh
Keyword(s):
Pell Equations
◽
Simultaneous Pell Equations
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Corrigendum to “On two classes of simultaneous Pell equations with no solutions”
Mathematics of Computation
◽
10.1090/mcom/3677
◽
2021
◽
pp. 1
Author(s):
P. G. Walsh
Keyword(s):
Pell Equations
◽
Simultaneous Pell Equations
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A note on the simultaneous Pell equations x^2-24y^2=1 and y^2-pz^2=1
Pure Mathematical Sciences
◽
10.12988/pms.2016.51117
◽
2016
◽
Vol 5
◽
pp. 27-32
Author(s):
Liqun Tao
Keyword(s):
Pell Equations
◽
Simultaneous Pell Equations
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On solutions of the simultaneous Pell equations $$ x^{2}-\left( a^{2}-1\right) y^{2}=1$$ x 2 - a 2 - 1 y 2 = 1 and $$y^{2}-pz^{2}=1$$ y 2 - p z 2 = 1
Periodica Mathematica Hungarica
◽
10.1007/s10998-016-0137-0
◽
2016
◽
Vol 73
(1)
◽
pp. 130-136
◽
Cited By ~ 2
Author(s):
Nurettin Irmak
Keyword(s):
Pell Equations
◽
Simultaneous Pell Equations
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