Ting Huang

activity

20212026

collaborators

5 papers

math.NT2026

First Moment of derivatives of $L$ -functions in a nonlinear family

Tinghao Huang, Zhining Wei

In this paper, we prove an asymptotic formula for the moment of the first order derivative of modular $L$ -functions at the center of the critical strip, weighted by generalized div…

math.NT2026

On Ramanujan Primes for Hecke-Maass Cusp Forms

Tinghao Huang, Shifan Zhao

For a primitive Hecke-Maass cusp form $ϕ$ of level $N$ with the $n$ -th Hecke eigenvalue $λ_{ϕ} (n)$ and a prime number $p ∤ N$ , the celebrated Ramanujan conjecture at $p$ asserts t…

math.NT2025

Averaging quadratically twisted $L$ -values and their derivatives

Tinghao Huang

In this paper, we unconditionally establish an asymptotic formula for the product of the quadratically twisted central $L$ -value associated to a holomorphic cusp form $f$ , and the…

math.NT2023

Counting Divisors in the Outputs of a Binary Quadratic Form

Chan Ieong Kuan, David Lowry-Duda, Alexander Walker +1

For a fixed natural number $h$ , we prove meromorphic continuation of the two-variable Dirichlet series $\sum_{m} r_{2} (m) σ_{w} (m + h) (m + h)^{- s + w}$ to $C^{2}$ and use this to…

math.NT2021

Spherical Heron triangles and elliptic curves

Tinghao Huang, Matilde Lalín, Olivier Mila

We define spherical Heron triangles (spherical triangles with "rational" side-lengths and angles) and parametrize them via rational points of certain families of elliptic curves. W…

First Moment of derivatives of L-functions in a nonlinear family

On Ramanujan Primes for Hecke-Maass Cusp Forms

Averaging quadratically twisted L-values and their derivatives

Counting Divisors in the Outputs of a Binary Quadratic Form

Spherical Heron triangles and elliptic curves

First Moment of derivatives of $L$ -functions in a nonlinear family

Averaging quadratically twisted $L$ -values and their derivatives