Let $Q \in \mathbb{C}[X]$ be a non-zero polynomial. Verify that the integral: $$\int_0^{2\pi} \ln\left|Q\left(e^{i\theta}\right)\right| d\theta$$ converges absolutely in the sense of Definition 1. One may use the d'Alembert-Gauss theorem.
Let $Q \in \mathbb{C}[X]$ be a non-zero polynomial. Verify that the integral:
$$\int_0^{2\pi} \ln\left|Q\left(e^{i\theta}\right)\right| d\theta$$
converges absolutely in the sense of Definition 1.
One may use the d'Alembert-Gauss theorem.