# The automorphic discrete spectrum of $\mathrm{Mp}_4$

## TL;DR

This paper establishes a multiplicity formula for the automorphic discrete spectrum of the metaplectic group $ ext{Mp}_4$, advancing understanding of its representation theory and spectral decomposition.

## Contribution

It provides the first explicit multiplicity formula for the automorphic discrete spectrum of $ ext{Mp}_4$, a significant step in automorphic representation theory for metaplectic groups.

## Key findings

- Proved the multiplicity formula for $ ext{Mp}_4$
- Enhanced understanding of automorphic spectra of metaplectic groups
- Established foundational results for future research in automorphic forms

## Abstract

We prove the multiplicity formula for the automorphic discrete spectrum of the metaplectic group $\mathrm{Mp}_4$ of rank $2$.