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arXiv · 1605.02999

Upper bounds for geodesic periods over hyperbolic manifolds

Feng Su
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Abstract

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.

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Feng Su. 2016-05-10. Upper bounds for geodesic periods over hyperbolic manifolds. https://arxiv.org/abs/1605.02999

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