SU\G(𝔸)/K·U

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Upper bounds for geodesic periods over hyperbolic manifolds

Upper bounds for geodesic periods over hyperbolic manifolds

We prove an upper bound for geodesic periods of Maass forms over hyperbolic manifolds. By definition, such periods are integrals of Maass forms restricted to a special geodesic cycle of the ambient manifold, against a Maass form on the cycle. Under certain restrictions, the bound will be uniform.