8 problems

Golay's skew-symmetric reduction conjecture.

Günther–Schmidt conjecture. For every $k e 5$, the function $phik(alpha)$ attains its minimum at $alpha=frac14$.

Saffari's conjecture. One has

Littlewood's conjecture. For every $\epsilon>0$, there are infinitely many $n$ for which there exists $f\in\mathcal{L}_n$ such that

Erdős's conjecture. There is a positive constant $c_1$ such that

A Littlewood polynomial is a polynomial $f(z)$ in $\mathbb{C}[z]$ whose coefficients all belong to $\{-1,1\}$. For a polynomial on the complex unit circle, write … A polynomial is…

Let $f$ range over Littlewood polynomials, meaning polynomials whose coefficients belong to $\{-1,1\}$. Consider the ratio $||f||_4/||f||_2$ as $\deg(f)\to\infty$. Golay's conjectu…

Let $f$ range over Littlewood polynomials, meaning polynomials whose coefficients belong to $\{-1,1\}$. Consider the ratio $||f||_4/||f||_2$ as $\deg(f)\to\infty$. Høholdt–Jensen c…