Hybrid bounds for automorphic forms on ellipsoids over number fields
Number Theory
2014-11-18 v2
Abstract
We prove upper bounds for Hecke-Laplace eigenfunctions on certain Riemannian manifolds of arithmetic type. 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.
Cite
@article{arxiv.1110.4526,
title = {Hybrid bounds for automorphic forms on ellipsoids over number fields},
author = {Valentin Blomer and Philippe Michel},
journal= {arXiv preprint arXiv:1110.4526},
year = {2014}
}
Comments
somewhat expanded version, to appear in J. Inst. Math. Jussieu