The Residual Spectrum of Mp_4(A_k)

TL;DR

This paper computes the residual spectrum of the global metaplectic group Mp_4 over a number field, using Eisenstein series, and interprets the results within the framework of the Arthur conjecture.

Contribution

It provides a detailed computation of the residual spectrum for Mp_4(A_k) and connects it to Arthur's conjectural classification of automorphic representations.

Findings

Residual spectrum of Mp_4(A_k) explicitly computed

Residual spectra interpreted as near equivalence classes

Supports the Arthur conjecture framework

Abstract

We compute the residual spectrum of the global metaplectic group Mp_4(A_k), by using the theory of Eisenstein series. The residual spectra obtained are interpreted as near equivalence classes in the framework of the Arthur conjecture.