3 problems

Nonexistence conjecture. There are no $L^\alpha$-flat polynomials in the class of Erdős–Littlewood polynomials for any $\alpha<4$.

Let $\mathcal L_n$ be the family of Littlewood polynomials of degree $n$. A polynomial $f(z)\in\mathcal L_n$ is skew-symmetric if its coefficients satisfy the skew-symmetry conditi…

A Littlewood polynomial is an analytic polynomial whose coefficients are all $7$. For a polynomial $P$ of degree $n$, write … for its $L^1$ norm on the unit circle. Newman's conjec…