The amplification method in the context of $GL(n)$ automorphic forms

Abstract

In \cite{SiVe2} and \cite{BlMa1}, the authors proved the existence of a so-called higher rank amplifier and in \cite{HoRiRo2}, the authors described an explicit version of a $GL(3)$ amplifier. This article provides, for $n\ge 4$, a totally explicit $GL(n)$ amplifier and gives all the results required to use it effectively.

References in corpus (2)

• Subconvexity for sup-norms of automorphic forms on PGL(n)
• The sup-norm problem for PGL(4)