Open Access
June 2016 The amplification method in the context of $GL(n)$ automorphic forms
Guillaume Ricotta
Funct. Approx. Comment. Math. 54(2): 195-226 (June 2016). DOI: 10.7169/facm/2016.54.2.5


In [SV] and [BMb], the authors proved the existence of a so-called higher rank amplifier and in [HRRa], the authors described an explicit version of a $GL(3)$ amplifier. This article provides, for $n\geq 4$, a totally explicit $GL(n)$ amplifier and gives all the results required to use it effectively.


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Guillaume Ricotta. "The amplification method in the context of $GL(n)$ automorphic forms." Funct. Approx. Comment. Math. 54 (2) 195 - 226, June 2016.


Published: June 2016
First available in Project Euclid: 20 June 2016

zbMATH: 06862343
MathSciNet: MR3513578
Digital Object Identifier: 10.7169/facm/2016.54.2.5

Primary: 11F99 , 20C08
Secondary: 15A21

Keywords: amplification method , Hecke algebras , Hecke operators

Rights: Copyright © 2016 Adam Mickiewicz University

Vol.54 • No. 2 • June 2016
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