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

Radu Toma

Let $N$ be a prime and $\varphi$ be a Hecke-Maass cuspidal newform for the Hecke congruence subgroup ${\Gamma }_0(N)$ in ${\mathrm{SL}}_n(\mathbb{R})$. Let $\Omega$ be an adelic compactum and let…