Lower bounds for Maass forms on semisimple groups
Number Theory
2020-04-22 v4 Analysis of PDEs
Abstract
Let be an anisotropic semisimple group over a totally real number field . Suppose that is compact at all but one infinite place . In addition, suppose that is -almost simple, not split, and has a Cartan involution defined over . If is a congruence arithmetic manifold of non-positive curvature associated to , we prove that there exists a sequence of Laplace eigenfunctions on whose sup norms grow like a power of the eigenvalue.
Cite
@article{arxiv.1604.02019,
title = {Lower bounds for Maass forms on semisimple groups},
author = {Farrell Brumley and Simon Marshall},
journal= {arXiv preprint arXiv:1604.02019},
year = {2020}
}