2 problems

Uniform shifted-sum conjecture. The shifted sum satisfies estimate uniformly in $z_0$. Accordingly, for $d\geq 3$ and $a,b\in\mathbb{R}^d$, the sum

Let $F(b,c)$ denote the lattice sums used in the paper, and let $m(\alpha)$ and $g(\alpha)$ be the Mahler measures defined by … and … where $y=e^{2\pi i\theta_1}$ and…