Yongxiao Lin

collaborators

4 papers

math.NT2026

Critical Zeros and Unconditional Mean Value Theorems for twisted $PGL (2)$ and $PGL (3)$ $L$ -functions

Brian Conrey, Chung-Hang Kwan, Yongxiao Lin +1

Let $I^_{0}$ be a cuspidal automorphic representation of $PGL_{3} (A_{Q})$ . In this paper, we use Levinson's method to prove that, as $Q \to \infty$ , at le…

math.NT2026

On algebraic twists with composite moduli, II

Yongxiao Lin, Philippe Michel

We study bounds for correlation sums of automorphic coefficients on $GL_{3, Q}$ with trace functions of composite moduli. This is a sequel to our previous works wi…

math.NT2026

Strong Hybrid Subconvexity for Twisted Selfdual $GL_{3}$ $L$ -Functions

Soumendra Ganguly, Peter Humphries, Yongxiao Lin +1

We prove strong hybrid subconvex bounds simultaneously in the $q$ and $t$ aspects for $L$ -functions of selfdual $GL_{3}$ cusp forms twisted by primitive Dirichlet characters…

math.NT2025

Short mollifiers of the Riemann zeta-function

J. Brian Conrey, David W. Farmer, Chung-Hang Kwan +2

We apply the calculus of variations to construct a new sequence of linear combinations of derivatives of the Riemann $I^¶$ -function adapted to Levinson's method, which yield a posit…

Critical Zeros and Unconditional Mean Value Theorems for twisted PGL(2) and PGL(3) L-functions

On algebraic twists with composite moduli, II

Strong Hybrid Subconvexity for Twisted Selfdual GL3​ L-Functions

Short mollifiers of the Riemann zeta-function

Critical Zeros and Unconditional Mean Value Theorems for twisted $PGL (2)$ and $PGL (3)$ $L$ -functions

Strong Hybrid Subconvexity for Twisted Selfdual $GL_{3}$ $L$ -Functions