Hybrid sup-norm bounds for Hecke–Maass cusp forms

  • Nicolas Templier

    Princeton University, USA

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