Small degree Salem numbers with trace −3

Sac-Épée, Jean-Marc

doi:10.2478/candc-2023-0041

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Small degree Salem numbers with trace −3

Control and Cybernetics

Volume 52 (2023): Issue 3 (September 2023)

By: Jean-Marc Sac-Épée

Open Access

|Sep 2024

Abstract

The contribution of this work is to provide tables of Salem numbers with trace −3 and small degrees, namely degrees 2d = 34, 36, 38, and 40. The implemented method also generates a list of totally positive polynomials of degrees d = 17, 18, 19, and 20, with trace 2d − 3, a single root strictly greater than 4, and all other roots strictly between 0 and 4.

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DOI: https://doi.org/10.2478/candc-2023-0041 | Journal eISSN: 2720-4278 | Journal ISSN: 0324-8569

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Language: English

Page range: 335 - 346

Submitted on: Mar 1, 2024

Accepted on: May 1, 2024

Published on: Sep 5, 2024

Published by: Systems Research Institute Polish Academy of Sciences

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

Salem numbers of small trace,

totally positive polynomials

Related subjects:

Computer sciences,

Computer sciences, other,

Engineering,

Electrical engineering,

Fundamentals of electrical engineering,

Mechanical engineering,

Fundamentals of mechanical engineering,

Mathematics,

General mathematics

© 2024 Jean-Marc Sac-Épée, published by Systems Research Institute Polish Academy of Sciences
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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