A Salem number with degree 34 and trace −3

Author:

El Otmani S.,Rhin G.,Sac-Épée J.-M.ORCID

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference10 articles.

1. The trace problem for totally positive algebraic integers;Aguirre,2008

2. Finding degree-16 monic irreducible integer polynomials of minimal trace by optimization methods;El Otmani;Experiment. Math.,2014

3. V. Flammang, Construction de fonctions auxiliaires. Application aux mesures de certaines familles d'entiers algébriques, in preparation.

4. GNU Linear Programming Kit, version 4.35, http://www.gnu.org/software/glpk/glpk.html.

5. Computing totally positive algebraic integers of small trace;McKee;Math. Comp.,2011

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1. There are Salem Numbers with Trace –3 and Every Degree At Least 34;Experimental Mathematics;2024-04-14

2. Small degree Salem numbers with trace −3;Control and Cybernetics;2023-09-01

3. Salem numbers with minimal trace;Mathematics of Computation;2023-03-07

4. Totally positive algebraic integers with small trace;Mathematics of Computation;2021-05-20

5. Salem numbers of trace −2, and a conjecture of Estes and Guralnick;Journal of Number Theory;2016-03

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