Monic integer Chebyshev problem

We study the problem of minimizing the supremum norm by monic polynomials with integer coefficients. Let $\mathcal {M}_n({\mathbb {Z}})$ denote the monic polynomials of degree $n$ with integer coefficients. A monic integer Chebyshev polynomial $M_n \in \mathcal {M}_n({\mathbb {Z}})$ satisfies \begin... View More