Sup-norm of Hecke-Laplace Eigenforms on $S^3$
Number Theory
2019-12-19 v2
Abstract
We prove sub-convex bounds on the fourth moment of Hecke-Laplace eigenforms on . As a corollary, we get a bound on the sup-norm on an individual eigenform, which constitutes an improvement over what is achievable through employing the Iwaniec-Sarnak amplifier.
Keywords
Cite
@article{arxiv.1811.03949,
title = {Sup-norm of Hecke-Laplace Eigenforms on $S^3$},
author = {Raphael S. Steiner},
journal= {arXiv preprint arXiv:1811.03949},
year = {2019}
}
Comments
9 pages