3 problems

Let $K$ be a number field, let $S\subset M_K$ be a finite set of places, let $\mathbf{r}=(1)_{v\in S}$, and let $\rho_{\mathbf{r}}$ be the corresponding adelic measure. Let…

Let $K$ be a number field, let $\mu$ be an adelic measure defined over $K$, let $h_\mu$ be its associated height on $\mathbb{P}^1(\overline{K})$, and let $\mathcal{L}(\mu)$ denote…

Let $K$ be a number field, let $\mu$ be an adelic measure defined over $K$, and let $h_\mu$ be its associated adelic height on $\mathbb{P}^1(\overline{K})$. Lehmer-type conjecture…