Representation of integers by cyclotomic binary forms

Etienne Fouvry, Claude Levesque, Michel Waldschmidt

The homogeneous form ${\Phi }_n(X,Y)$ of degree $\phi (n)$ which is associated with the cyclotomic polynomial ${\varphi }_n(X)$ is dubbed a {\it cyclotomic binary form}. A positive integer $m\ge 1$ i…