Ziwei Hong

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math.NT2026

Improved first moments of primitive quartic and sextic Dirichlet $L$ -functions

Ziwei Hong

We study the smoothed first moments of primitive quartic and sextic Dirichlet $L$ -functions for which every nontrivial power of the character remains primitive. Assuming the genera…

math.NT2026

A secondary term in the first moment of primitive cubic Dirichlet L-functions

Ziwei Hong

P. Gao and L. Zhao obtained an asymptotic formula for the smoothed first moment of primitive cubic Dirichlet $L$ -functions over $Q$ with conductors coprime to $3$ , with a main term…

math.NT2026

A secondary term in the first moment of cubic $L$ -functions over function fields

Ziwei Hong

Let $q$ be a fixed odd prime power with $q \equiv 2 (mod 3)$ . We study the first moment of primitive cubic Dirichlet $L$ -functions over $\Fq(T)$, ordered by their genus. By averaging t…

math.NT2025

The first moment of primitive quartic $L$-functions with a secondary term

Ziwei Hong, Zhiyong Zheng

Let $q \equiv 3 (mod 4)$ be a fixed odd prime power. We study the first moment of central values of primitive quartic Dirichlet $L$ -functions over $\F_q[T]$, with fixed genus $g$ and w…

math.NT2025

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*…

Improved first moments of primitive quartic and sextic Dirichlet L-functions

A secondary term in the first moment of primitive cubic Dirichlet L-functions

A secondary term in the first moment of cubic L-functions over function fields

The first moment of primitive quartic \(L\)-functions with a secondary term

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

Mean value of cubic L-funcitons with fixed genus

Improved first moments of primitive quartic and sextic Dirichlet $L$ -functions

A secondary term in the first moment of cubic $L$ -functions over function fields

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

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