Høibakk, Ralph; Lukkassen, Dag; Meidell, Annette; Persson, Lars Erik (Journal article; Tidsskriftartikkel; Peer reviewed, 2020-02-18)
The aim is to put new light on the single ladder problem (SLP). Some new methods for finding complete integer solutions to the corresponding quartic equation
z
4
−2L
z
3
+(
L
2
−
a
2
−
b
2
)
z
2
+2L
a
2
z−
L
2
a
2
=0
z4−2Lz3+(L2−a2−b2)z2+2La2z−L2a2=0
are developed. For the case
L≥
L
min
L≥Lmin
, these methods imply a complete parametric representation for integer ...