Ting Huang

collaborators

3 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…

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

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

Averaging quadratically twisted $L$ -values and their derivatives