Vol. 14, No. 4, 2020

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Mass equidistribution on the torus in the depth aspect

Yueke Hu

Vol. 14 (2020), No. 4, 927–946
Abstract

In this paper we prove the equidistribution of the restriction of the mass of automorphic newforms to a nonsplit torus in the depth aspect. This result is better than the current known results on the similar problem in the eigenvalue aspect. The method is relatively elementary and makes use of the known effective QUE result in the depth aspect.

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Keywords
Equidistribution in the depth aspect, restriction of the mass measure to torus
Mathematical Subject Classification 2010
Primary: 58J51
Secondary: 11F67, 22E50, 37A45
Milestones
Received: 4 January 2019
Revised: 13 November 2019
Accepted: 13 December 2019
Published: 21 June 2020
Authors
Yueke Hu
Yau Mathematical Sciences Center
Tsinghua University
Beijing
China