asymptotic formulas 1generalized divisor functions 1modular l-functions 1moments of derivatives 1quadratic characters 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.NT2026
First Moment of derivatives of -functions in a nonlinear family
Tinghao Huang, Zhining Wei
The authors establish an asymptotic formula for the first‑order derivative of modular L‑functions at the central point, averaged with generalized divisor functions attached to prim…
math.NT2026
On Ramanujan Primes for Hecke-Maass Cusp Forms
Tinghao Huang, Shifan Zhao
For a primitive Hecke-Maass cusp form of level with the -th Hecke eigenvalue and a prime number , the celebrated Ramanujan conjecture at assert…
math.NT2025
Averaging quadratically twisted -values and their derivatives
Tinghao Huang
In this paper, we unconditionally establish an asymptotic formula for the product of the quadratically twisted central -value associated to a holomorphic cusp form , and the…