# First Moment of Hecke $L$-functions with quartic characters at the central point

## TL;DR

This paper investigates the average behavior of Hecke L-functions at the central point for quartic characters, providing insights into their distribution and value distribution.

## Contribution

It introduces a new analysis of the first moment of Hecke L-functions with quartic characters at the central point, advancing understanding of their value distribution.

## Key findings

- Derived explicit formulas for the first moment
- Identified non-vanishing results at the central point
- Provided bounds on the average size of these L-values

## Abstract

In this paper, we study the first moment of central values of Hecke $L$-functions associated with quartic characters.