When Can (((X2−P)2−Q)2−R)2−S2Split into Linear Factors?

Andrew Bremner

doi:10.1080/10586458.2008.10128879

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When Can (((X²−P)²−Q)²−R)²−S²Split into Linear Factors?

Andrew Bremner

Year: 2008 Journal: Experimental Mathematics Vol: 17 (4)Pages: 385-390 Publisher: Taylor & Francis

DOI: 10.1080/10586458.2008.10128879

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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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Combinatorics Mathematics

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Advanced Mathematical Theories and Applications

Physical Sciences → Physics and Astronomy → Statistical and Nonlinear Physics

Advanced Combinatorial Mathematics

Physical Sciences → Mathematics → Discrete Mathematics and Combinatorics

Advanced Differential Equations and Dynamical Systems

Physical Sciences → Mathematics → Geometry and Topology

When Can (((X²−P)²−Q)²−R)²−S²Split into Linear Factors?

Abstract

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