Hua Lin

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20222025

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math.NT2025

Towards Keating-Snaith's conjecture for cubic Hecke $L$ -functions over the Eisenstein field

Hua Lin, Peng-Jie Wong

A famous conjecture of Keating and Snaith asserts that central values of $L$ -functions in a given family admit a log-normal distribution with a prescribed mean and variance dependi…

math.NT2022

One-level density of zeros of Dirichlet $L$ -functions over function fields

Hua Lin

We compute the one-level density of zeros of order $ℓ$ Dirichlet $L$ -functions over function fields $F_{q} [t]$ for $ℓ = 3, 4$ in the Kummer setting ( $q \equiv 1 (mod ℓ)$ …

Towards Keating-Snaith's conjecture for cubic Hecke L-functions over the Eisenstein field

One-level density of zeros of Dirichlet L-functions over function fields

Towards Keating-Snaith's conjecture for cubic Hecke $L$ -functions over the Eisenstein field

One-level density of zeros of Dirichlet $L$ -functions over function fields