3 problems

Unconditional $\gamma_n$-bound conjecture. The uniform exponent of approximation satisfies

Lower discrepancy conjecture. We have

Let $\zeta_1,\ldots,\zeta_k$ be such that $1,\zeta_1,\ldots,\zeta_k$ are linearly independent over $\mathbb{Q}$. Let $\omega$ be the ordinary exponent and $\widehat{\omega}$ the co…