Experimental Mathematics

When Can $(((X^2-P)^2-Q)^2-R)^2-S^2$ Split into Linear Factors?

Andrew Bremmer
Source: Experiment. Math. Volume 17, Issue 4 (2008), 385-390.

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.

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Primary Subjects: 11D41
Secondary Subjects: 11G05, 11G35, 11Y50
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.em/1243429952
Mathematical Reviews number (MathSciNet): MR2484423
Zentralblatt MATH identifier: 05587805


2013 © A K Peters, Ltd.

Experimental Mathematics

Experimental Mathematics