Abstract
We discover two infinite families of integers $(P,Q,R,S)$ such that the polynomial $(((X^2-P)^2-Q)^2-R)^2-S^2$ factors into linear factors.
Citation
Andrew Bremmer. "When Can $(((X^2-P)^2-Q)^2-R)^2-S^2$ Split into Linear Factors?." Experiment. Math. 17 (4) 385 - 390, 2008.
Information
Published: 2008
First available in Project Euclid: 27 May 2009
MathSciNet: MR2484423
Subjects:
Primary:
11D41
Secondary:
11G05
,
11G35
,
11Y50
Keywords:
Elliptic curve
,
Nested squares
Rights: Copyright © 2008 A K Peters, Ltd.
