On the L² restriction norm of large level

2026/08/05 by Chengliang Guo
Mathematics · #math.NT

paper · pdf · doi:10.1093/imrn/rnag140

18 pages. Published in IMRN. Comments welcome

arxiv created 2026/08/05 · arxiv updated 2026/08/06

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.

Citations

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