Consider a homogeneous polynomial p(z_1,...,z_n) of degree n in n complex variables .
Assume that this polynomial satisfies the property : \\

|p(z_1,...,z_n)| \geq \prod_{1 \leq i \leq n} Re(z_i) on the domain \{(z_1,...,z_n) : Re(z_i) \geq 0 , 1 \leq i \leq n \} . \\

We prove that ... more >>>