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2008 When Can $(((X^2-P)^2-Q)^2-R)^2-S^2$ Split into Linear Factors?
Andrew Bremmer
Experiment. Math. 17(4): 385-390 (2008).

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

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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.

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Vol.17 • No. 4 • 2008
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