Upper bounds for geodesic periods over hyperbolic manifolds
Number Theory
2018-01-29 v3
Abstract
We prove an upper bound for geodesic periods of Maass forms over hyperbolic manifolds. By definition, such periods are integrals of Maass forms restricted to a special geodesic cycle of the ambient manifold, against a Maass form on the cycle. Under certain restrictions, the bound will be uniform.
Cite
@article{arxiv.1605.02999,
title = {Upper bounds for geodesic periods over hyperbolic manifolds},
author = {Feng Su},
journal= {arXiv preprint arXiv:1605.02999},
year = {2018}
}
Comments
17 pages; revised version