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arXiv · 1110.4526

Hybrid bounds for automorphic forms on ellipsoids over number fields

Valentin Blomer·Philippe Michel
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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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Valentin Blomer, Philippe Michel. 2012-11-24. Hybrid bounds for automorphic forms on ellipsoids over number fields. https://doi.org/10.1017/s1474748012000874

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