The simultaneous Pell equations y2 - Dz2 = 1 and x2 - 2Dz2 = 1

Xiaolei Dong; W. C. Shiu; C. I. Chu; Zhenfu Cao

doi:10.4064/aa126-2-2

The simultaneous Pell equations y² - Dz² = 1 and x² - 2Dz² = 1

Xiaolei Dong^*
, W. C. Shiu
, C. I. Chu
, Zhenfu Cao

^*Corresponding author for this work

Shanghai Jiao Tong University
Hong Kong Baptist University

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Original language	English
Pages (from-to)	115-123
Number of pages	9
Journal	Acta Arithmetica
Volume	126
Issue number	2
DOIs	https://doi.org/10.4064/aa126-2-2
State	Published - 2007
Externally published	Yes

Keywords

Diophantine equation
Simultaneous pell equation

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10.4064/aa126-2-2

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title = "The simultaneous Pell equations y2 - Dz2 = 1 and x2 - 2Dz2 = 1",

keywords = "Diophantine equation, Simultaneous pell equation",

author = "Xiaolei Dong and Shiu, \{W. C.\} and Chu, \{C. I.\} and Zhenfu Cao",

year = "2007",

doi = "10.4064/aa126-2-2",

language = "英语",

volume = "126",

pages = "115--123",

journal = "Acta Arithmetica",

issn = "0065-1036",

publisher = "Institute of Mathematics. Polish Academy of Sciences",

number = "2",

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TY - JOUR

T1 - The simultaneous Pell equations y2 - Dz2 = 1 and x2 - 2Dz2 = 1

AU - Dong, Xiaolei

AU - Shiu, W. C.

AU - Chu, C. I.

AU - Cao, Zhenfu

PY - 2007

Y1 - 2007

KW - Diophantine equation

KW - Simultaneous pell equation

UR - https://www.scopus.com/pages/publications/33947597271

U2 - 10.4064/aa126-2-2

DO - 10.4064/aa126-2-2

M3 - 文章

AN - SCOPUS:33947597271

SN - 0065-1036

VL - 126

SP - 115

EP - 123

JO - Acta Arithmetica

JF - Acta Arithmetica

IS - 2

ER -

The simultaneous Pell equations y2 - Dz2 = 1 and x2 - 2Dz2 = 1

Keywords

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The simultaneous Pell equations y² - Dz² = 1 and x² - 2Dz² = 1