Hybrid Bounds for Automorphic Forms on Ellipsoids over Number Fields
نویسنده
چکیده
We prove upper bounds for Hecke-Laplace eigenfunctions on certain Riemannian manifolds X of arithmetic type, uniformly in the eigenvalue and the volume of the manifold. The manifolds under consideration are d-fold products of 2-spheres or 3-spheres, realized as adelic quotients of quaternion algebras over totally real number fields. In the volume aspect we prove a (“Weyl-type”) saving of vol(X)−1/6+ε.
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تاریخ انتشار 2012