The sup-norm problem for newforms of large level on $\mathrm{PGL}(n)$

Radu Toma

Let $N$ be a prime and $\ddot{I}•$ be a Hecke-Maass cuspidal newform for the Hecke congruence subgroup $\hat{I}{“}_0(N)$ in ${\mathrm{SL}}_n(\mathbb{R})$. Let $\hat{I}\text{c◯}$ be an adelic compactum and…