On the convexity of the fundamental domain of binary cyclotomic forms

Étienne Fouvry, Michel Waldschmidt

Denote by ${\Phi }_m(X,Y)\in \mathbb{Z}[X,Y]$, $m⩾1$ the sequence of binary cyclotomic forms, so that ${\Phi }_m(T,1)\in \mathbb{Z}[T]$, $m⩾1$ is the sequence of cyclotomic polynomials. We pro…