2 problems

Complete quasi-equidistribution conjecture. Let $\gamma$ be the largest root of the polynomial $x^2-px-q$ for $1\leq q\leq p$. The van der Corput sequence in base $\gamma$ is c.q.e…

Let $p_n=\mathfrak{F}_n$ be the $n$th Fibonacci number and let $\mu_n=\sigma_{p_{n-1},0}$. Define $z(1)=z(2)=z(3)=1$, $z(4)=2$, and, for subsequent indices,…