A Survey on the Conjecture of Lehmer and the Conjecture of Schinzel-Zassenhaus

Jean-Louis Verger-Gaugry (1)

1 IF - Institut Fourier

Mots clés: Lehmer conjecture; Lehmer problem; Lehmer’s number; Schinzel-Zassenhaus conjecture; mapping class; stretch factor; coxeter system; Salem number; Perron number; Pisot number; Mahler measure; minoration; algebraic dynamical system; torsion growth; heights; knots; links; Alexander polynomial; Jones polynomial.

Domaines: Théorie des nombres [math.NT]

Jean-Louis Verger-Gaugry. A Survey on the Conjecture of Lehmer and the Conjecture of Schinzel-Zassenhaus. 2019. ⟨hal-02315014⟩