The sup-norm problem for PGL(4)

Abstract

Let F be a Hecke-Maass cusp form for the group SL(4, Z) with Laplace eigenvalue lambda. Assume that F satisfies the Ramanujan conjecture at infinity (this is satisfied by almost all cusp forms). We show a power-saving sup-norm bound in terms of lambda (relative to the generic bound) for F restricted to a compact set.

Small typos corrected; to appear in IMRN

Cited by in corpus (1)

• The amplification method in the context of $GL(n)$ automorphic forms