Hybrid bounds for automorphic forms on ellipsoids over number fields
classification
🧮 math.NT
keywords
boundsfieldsmanifoldsnumberspheresadelicalgebrasarithmetic
read the original 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.
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