2 papers
math.NT2026
The second moment of derivatives of quadratic twists of modular -functions
Yujiao Jiang, Quanli Shen, Ziyang Tang
We prove an asymptotic formula for the second moment of the first derivative of quadratic twists of modular -functions with three leading order main terms. It improves the previ…
math.NT2025
On Hypothesis H of Rudnick and Sarnak
Yujiao Jiang
We prove Hypothesis H in full generality for over any number field. This result is a consequence of our stronger effective bound on Euler products involving Rankin--Se…