Ziwei Hong

collaborators

5 papers

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…

cs.LG2026

Accuracy and Uncertainty in Machine Deception Detection (Research White Paper)

Heng-Sheng Chang

A deception detector is only as useful as the trust its alarms deserve. Like a polygraph, detectors that read a language model's internal activations can catch deceptive responses…

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{…

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*…

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

Accuracy and Uncertainty in Machine Deception Detection (Research White Paper)

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

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