Bounds for the periods of eigenfunctions on arithmetic hyperbolic 3-manifolds over surfaces
Abstract
Abstract Let $$\psi $$ ψ be a Hecke–Maass form on a compact congruence arithmetic hyperbolic 3-manifold X , and let Y be a totally geodesic surface in X that is not necessarily closed. We obtain a power saving result over the local bound for the period of $$\psi $$ ψ along Y , by applying the method of arithmetic amplification developed by Iwaniec and Sarnak.
Fields of Study & Subjects
Geometric and Algebraic Topology
Mathematical Dynamics and Fractals
Analytic Number Theory Research
Publication details
- Journal / source
- Mathematische Zeitschrift
- Volume
- 312
- Issue
- 2
- Publication date
- 9 January 2026
- Language
- EN