# The subregular unipotent contribution to the geometric side of the Arthur trace formula for the split exceptional group $G_2$

## TL;DR

This paper constructs a zeta integral linked to the subregular unipotent contribution in the Arthur trace formula for the split exceptional group G_2, advancing understanding of its geometric side.

## Contribution

It introduces a novel zeta integral associated with the subregular unipotent contribution for G_2, providing new tools for analyzing the trace formula's geometric component.

## Key findings

- Establishment of a zeta integral for binary cubic forms
- Connection between the zeta integral and the subregular unipotent contribution
- Enhanced understanding of the geometric side of the Arthur trace formula for G_2

## Abstract

In this paper, a zeta integral for the space of binary cubic forms is associated with the subregular unipotent contribution to the geometric side of the Arthur trace formula for the split exceptional group $G_2$.