On the L2 restriction norm of large level
Chengliang Guo
Abstract
In this paper, we prove the mass equidistribution theorem restricted to vertical geodesic segments for holomorphic Hecke newforms of large square-free level. We utilize the effective proof of QUE in the level aspect. Moreover, we study this L2 mass in the full geodesics and relate it to second moments of twisted L-functions.
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