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arXiv · 1409.8173

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

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

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Yueke Hu. 2014-09-29. Triple product formula and mass equidistribution on modular curves of level N. https://arxiv.org/abs/1409.8173

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