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April 2022 Properties of trinomials of height at least 2
Valérie Flammang, Paul Voutier
Rocky Mountain J. Math. 52(2): 507-518 (April 2022). DOI: 10.1216/rmj.2022.52.507

Abstract

We consider trinomials of the form zn+azm+b, where 0<m<n are relatively prime integers and a and b are nonzero complex numbers. Typically (but not exclusively), a will be an integer with |a|2, while b=±1. Our main results cover the irreducibility, Mahler measure and house of such trinomials.

Citation

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Valérie Flammang. Paul Voutier. "Properties of trinomials of height at least 2." Rocky Mountain J. Math. 52 (2) 507 - 518, April 2022. https://doi.org/10.1216/rmj.2022.52.507

Information

Received: 10 November 2020; Revised: 7 August 2021; Accepted: 11 August 2021; Published: April 2022
First available in Project Euclid: 17 May 2022

Digital Object Identifier: 10.1216/rmj.2022.52.507

Subjects:
Primary: 11C08 , 11J25 , 11R06

Keywords: house of algebraic integer , irreducibility , Mahler measure

Rights: Copyright © 2022 Rocky Mountain Mathematics Consortium

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Vol.52 • No. 2 • April 2022
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