Triple product formula and mass equidistribution on modular curves of level N

2014/09/29 by Yueke Hu, Hu, Yueke · 3 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1409.8173

openalex publication_date 2014/09/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It was shown in previous works that the measure associated to holomorphic newforms of weight k and level q will tend weakly to the Haar measure on modular curve of level 1, as qk→ ∞. In this paper we proved that this phenomenon is also true on modular curves of general level N.

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• Stationary phase analysis for analytic newvectors and application to subconvexity problems
• Test vectors for Waldspurger's period integral and application to the mass equidistribution on nonsplit torus
• Iwasawa Main Conjecture for Non-Ordinary Modular Forms

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