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arXiv:1110.4526 [math.NT]AbstractReferencesReviewsResources

Hybrid bounds for automorphic forms on ellipsoids over number fields

Valentin Blomer, Philippe Michel

Published 2011-10-20, updated 2012-11-24Version 2

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.

Comments: somewhat expanded version, to appear in J. Inst. Math. Jussieu
Categories: math.NT
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