Open Access
2018 Locating trinomial zeros
Russell Howell, David Kyle
Involve 11(4): 711-720 (2018). DOI: 10.2140/involve.2018.11.711


We derive formulas for the number of interior roots (i.e., zeros with modulus less than 1) and exterior roots (i.e., zeros with modulus greater than 1) for trinomials of the form zn+zk1, where 1kn1. Combined with earlier work by Brilleslyper and Schaubroeck, who focus on unimodular roots (i.e., zeros that lie on the unit circle), we give a complete count of the location of zeros of these trinomials.


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Russell Howell. David Kyle. "Locating trinomial zeros." Involve 11 (4) 711 - 720, 2018.


Received: 21 July 2017; Accepted: 29 August 2017; Published: 2018
First available in Project Euclid: 28 March 2018

zbMATH: 06864405
MathSciNet: MR3778921
Digital Object Identifier: 10.2140/involve.2018.11.711

Primary: 30C15 , 97I80
Secondary: 11-02

Keywords: complex analysis , Diophantine equations , trinomials , zeros of functions

Rights: Copyright © 2018 Mathematical Sciences Publishers

Vol.11 • No. 4 • 2018
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