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Some analytic aspects of automorphic forms on GL(2) of minimal type
Let $\pi$ be a cuspidal automorphic representation of $PGL_2(\mathbb{A}_\mathbb{Q})$ of arithmetic conductor $C$ and archimedean parameter $T$, and let $\phi$ be an $L^2$-normalized automorphic form in the space of $\pi$. ...
Bounds for Rankin--Selberg integrals and quantum unique ergodicity for powerful levels
(American Mathematical Society, 2014-01-01)
Let f be a classical holomorphic newform of level q and even weight k. We show that the pushforward to the full level modular curve of the mass of f equidistributes as qk -> infinity. This generalizes known results in the ...