The amplification method in the $GL(3)$ Hecke algebra

This article contains all the technical ingredients required to implement an effective, explicit and unconditional amplifier in the context of $GL(3)$ automorphic forms. In particular, several coset decomposition computations in the $GL(3)$ Hecke algebra are explicitly done.

Article de revue

Publications mathématiques de Besançon. Algèbre et théorie des nombres, 2015