# Mollification and non-vanishing of automorphic $L$-functions on GL(3)

## TL;DR

This paper establishes a non-vanishing result for central values of automorphic L-functions on GL(3) using mollification and the Kuznetsov trace formula, advancing understanding of automorphic forms and their L-functions.

## Contribution

It introduces a novel application of mollification combined with the Kuznetsov trace formula to prove non-vanishing for GL(3) L-functions, extending previous methods from lower rank cases.

## Key findings

- Proved non-vanishing of GL(3) L-functions at the central point.
- Demonstrated effectiveness of mollification with Kuznetsov trace formula for higher rank groups.
- Enhanced techniques for studying automorphic L-functions on GL(3).

## Abstract

We prove a non-vanishing result for central values of $L$-functions on GL(3), by using the mollification method and the Kuznetsov trace formula.