Mass equidistribution on the torus in the depth aspect

Hu, Yueke

doi:10.2140/ant.2020.14.927

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Mass equidistribution on the torus in the depth aspect

Yueke Hu

Vol. 14 (2020), No. 4, 927–946

DOI: 10.2140/ant.2020.14.927

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

Vol. 14, No. 4, 2020