Hybrid bounds for automorphic forms on ellipsoids over number fields

Details Hybrid bounds for automorphic forms on ellipsoids over number fields Hybrid bounds for automorphic forms on ellipsoids over number fields

2011-10-20

arxiv.org/abs/1110.4526v1

Mathematics

Number Theory

20 pages, 1 figure

Scientific paper

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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