Abstract
In this paper, we give a list of monic integer polynomials of smallest possible trace, irreducible, of degree 16, and having all roots real and positive. Moreover, we think that this list may be complete.
ACKNOWLEDGMENTS
We thank the referee, whose suggestions and advice significantly helped us to improve this paper.
Notes
1The complete list can be found at www.math.univ-metz.fr/jmse/Degree15Trace28.html.
2Available at http://pari.math.u-bordeaux.fr.
3Available at http://www.gnu.org/software/glpk/glpk.html.