Geodesic restrictions of eigenfunctions on arithmetic surfaces

Details Geodesic restrictions of eigenfunctions on arithmetic surfaces Geodesic restrictions of eigenfunctions on arithmetic surfaces

2012-04-03

arxiv.org/abs/1204.0781v1

Mathematics

Number Theory

21 pages

Scientific paper

Let X be an arithmetic hyperbolic surface, {\psi} a Hecke-Maass form, and
{\gamma} a geodesic segment on X. We obtain a power saving over the local bound
of Burq-G\'erard-Tzvetkov for the L^2 norm of {\psi} restricted to {\gamma}, by
extending the technique of arithmetic amplification developed by Iwaniec and
Sarnak.

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