Unimodular Roots of Quadrinomials

We show finding all the unimodular roots (roots of modulus 1) of the quadrinomial p(z) = zⁿ + zk + zj – 1, with integer exponents n > k > j ≥ 1, requires checking a finite number of conditions on a set of integer equations.

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Bibliographic Details
Published in:The College mathematics journal 2020-05, Vol.51 (3), p.219-221
Main Author: Brilleslyper, Michael A.
Format: Article
Language:English
Subjects:
CLASSROOM CAPSULES
Polynomials
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Description
Summary:We show finding all the unimodular roots (roots of modulus 1) of the quadrinomial p(z) = zⁿ + zk + zj – 1, with integer exponents n > k > j ≥ 1, requires checking a finite number of conditions on a set of integer equations.
ISSN:0746-8342
1931-1346
DOI:10.1080/07468342.2020.1701384