Hua Lin

activity

20222025

collaborators

4 papers

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.RT2023

Representation type of cyclotomic quiver Hecke algebras of type $C_{ℓ}^{(1)}$

Huang Lin

We first investigate a connected quiver consisting of all dominant maximal weights for an integrable highest weight module in affine type C. This quiver provides an efficient metho…

math.NT2023

Quartic Gauss sums over primes and metaplectic theta functions

Chantal David, Alexander Dunn, Alia Hamieh +1

We improve 1987 estimates of Patterson for sums of quartic Gauss sums over primes. Our Type-I and Type-II estimates feature new ideas, including use of the quadratic large sieve ov…

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

Representation type of cyclotomic quiver Hecke algebras of type Cℓ(1)​

Quartic Gauss sums over primes and metaplectic theta functions

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

Representation type of cyclotomic quiver Hecke algebras of type $C_{ℓ}^{(1)}$

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