The sup-norm problem for PGL(4)
Number Theory
2014-09-30 v3
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.
Cite
@article{arxiv.1404.4331,
title = {The sup-norm problem for PGL(4)},
author = {Valentin Blomer and Péter Maga},
journal= {arXiv preprint arXiv:1404.4331},
year = {2014}
}
Comments
Small typos corrected; to appear in IMRN