An Improved Method for Solving the Family of Thue Equations 
                     
                        
                           
                              
                                 X
                                 4
                              
                              −
                              2
                              
                                 
                                    rX
                                 
                                 2
                              
                              
                                 Y
                                 2
                              
                              −
                              
                                 
                                    sY
                                 
                                 4
                              
                              =
                              1

doi:10.1201/9780138747022-22

Chapter

An Improved Method for Solving the Family of Thue Equations

X
4

−
2

rX

2

Y
2

−

sY

4

=
1

Chapter

An Improved Method for Solving the Family of Thue Equations X 4 − 2 rX 2 Y 2 − sY 4 = 1

ABSTRACT

Since the groundbreaking work of Thue [13], the subject of solving those Diophantine equations of the form https://www.w3.org/1998/Math/MathML"> F ( X , Y ) = m , https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780138747022/abb99e87-ffb7-4196-a4c4-acb0033e3d6a/content/eq3912.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/>