$L^4$-norms of Hecke newforms of large level

Abstract

We prove a new upper bound for the $L^4$-norm of a holomorphic Hecke newform of large fixed weight and prime level $q\to \infty$. This is achieved by proving a sharp mean value estimate for a related $L$-function on GL(6)

arXiv comment12 pages

References in corpus (1)

• On the sup-norm of Maass cusp forms of large level. III