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

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 $qk\to \infty$. In this paper we proved that this phenomenon is also true on modular curves of general level N.

Main difference from last version: considered $\varphi$ being old forms

References in corpus (1)

• The subconvexity bound for triple product L-function in level aspect

Cited by in corpus (1)

• Test vectors for Waldspurger's period integral and application to the mass equidistribution on nonsplit torus