Hybrid sup-norm bounds for Hecke–Maass cusp forms
Nicolas Templier
Princeton University, USA
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Abstract
Let be a Hecke–Maass cusp form of eigenvalue and square-free level . Normalize the hyperbolic measure such that and the form such that . It is shown that for all . This generalizes simultaneously the current best bounds in the eigenvalue and level aspects.
Cite this article
Nicolas Templier, Hybrid sup-norm bounds for Hecke–Maass cusp forms. J. Eur. Math. Soc. 17 (2015), no. 8, pp. 2069–2082
DOI 10.4171/JEMS/550