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

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

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 …