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arXiv · 2608.04597

On the $L^2$ restriction norm of large level

Chengliang Guo
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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 $L^2$ mass in the full geodesics and relate it to second moments of twisted $L$-functions.

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Chengliang Guo. 2026-08-05. On the $L^2$ restriction norm of large level. https://doi.org/10.1093/imrn%2Frnag140

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