English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Open

Presents the pdf analysis as premium feature

PDF Analysis

Insights

Presents the summarisation as premium feature

Summarisation

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Let   $N$   be a fixed integer and   $f$   be a holomorphic newform of level   $q$  , weight   $k$   and trivial nebentypus, where   $q$   is a multiple of   $N$  . In this article, we prove that the pushforward to the modular curve of level   $N$   of the mass measure of   $f$   tends weakly to the Haar measure as   $qk\rightarrow \infty$  . This generalizes the previous results for modular curve of level 1. The main innovation of this article is to obtain an upper bound for the local integral which cancels the convexity bound of the corresponding   $L$  -function in level aspect.

Triple Product Formula and Mass Equidistribution on Modular Curves of Level N