arXiv 1709.009352017-09-04math.NTmath.RT

Upper bounds for geodesic periods over rank one locally symmetric spaces

Jan Möllers, Feng Su

备注：: 14 pages
发表信息：: Forum Math. 30 (2018), no. 5, 1065-1077
DOI：: 10.1515/forum-2017-0185

英文摘要：

We prove upper bounds for geodesic periods of automorphic forms over general rank one locally symmetric spaces. Such periods are integrals of automorphic forms restricted to special totally geodesic cycles of the ambient manifold and twisted with automorphic forms on the cycles. The upper bounds are in terms of the Laplace eigenvalues of the two automorphic forms, and they generalize previous results for real hyperbolic manifolds to the context of all rank one locally symmetric spaces.

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