Ziwei Hong

collaborators

3 papers

math.NT2026

The first moment of central value of primitive quartic $L$ -functions with fixed genus

Ziwei Hong

We investigate the mean value of the first moment of primitive quartic $L$ -functions over $F_{q} (T)$ in the non-Kummer setting. Specifically, we study the sum \begin{equatio…

math.NT2025

Mean value of cubic $L$ -funcitons with fixed genus

Ziwei Hong, Zhongqiu Fang

We investigate the mean value of the first moment of primitive cubic $L$ -functions over $F_{q} (T)$ in the non-Kummer setting. Specifically, we study the sum \begin{equation*…

math.NT2025

Twisted second moment of primitive cubic L-functions

Ziwei Hong, Zhiyong Zheng

We investigate the mean value of the twisted second moment of primitive cubic $L$ -functions over $F_{q} (T)$ in the non-Kummer setting. Specifically, we study the sum \begin{…

The first moment of central value of primitive quartic L-functions with fixed genus

Mean value of cubic L-funcitons with fixed genus

Twisted second moment of primitive cubic L-functions

The first moment of central value of primitive quartic $L$ -functions with fixed genus

Mean value of cubic $L$ -funcitons with fixed genus