Yongxiao Lin

activity

20162026

G L_{3} \times G L_{2}

automorphic forms

29 citations · 66 across the 16 of their papers we have counts for

collaborators

17 papers

math.NT2026

The second moment of twisted modular $L$ -functions and Dirichlet $L$ -functions at the central point

Zhengye Chen, Yongxiao Lin

We prove an asymptotic formula with a power-saving error term for the second moment $$ \sum_{q \in \mathcal{Q}} \; \; \sideset{}{^\flat}\sum_{χ\bmod q} \left| L\big( \tfrac{1}{2} ,…

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 $Π_{0}$ 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 lea…

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.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 $ζ$ -function adapted to Levinson's method, which yield a positi…

math.NT2024

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.NT2023

On algebraic twists with composite moduli

Yongxiao Lin, Philippe Michel

We study bounds for algebraic twists sums of automorphic coefficients by trace functions of composite moduli.

math.NT2023★ 9 cited

Rankin-Selberg coefficients in large arithmetic progressions

Emmanuel Kowalski, Yongxiao Lin, Philippe Michel

Let $(λ_{f} (n))_{n \geq 1}$ be the Hecke eigenvalues of either a holomorphic Hecke eigencuspform or a Hecke-Maass cusp form $f$ . We prove that, for any fixed $η > 0$ , under the Ramanuja…

math.NT2021

Strong subconvexity for self-dual $GL (3)$ $L$ -functions

Yongxiao Lin, Ramon Nunes, Zhi Qi

In this paper, we prove strong subconvexity bounds for self-dual $GL (3)$ $L$ -functions in the $t$ -aspect and for $GL (3) \times GL (2)$ $L$ -functions in the…

math.NT2021

Analytic twists of $G L_{2} \times G L_{2}$ automorphic forms

Bingrong Huang, Qingfeng Sun, Huimin Zhang

Let $f$ and $g$ be holomorphic or Maass cusp forms for $S L_{2} (Z)$ with normalized Fourier coefficients $λ_{f} (n)$ and $λ_{g} (n)$ , respectively. In this paper, we prove nont…

math.NT2020

Averages of coefficients of a class of degree 3 L-functions

Bingrong Huang, Yongxiao Lin, Zhiwei Wang

In this note, we give a detailed proof of an asymptotic for averages of coefficients of a class of degree three $L$ -functions which can be factorized as a product of a degree one a…

math.NT2019★ 29 cited

Analytic twists of $G L_{3} \times G L_{2}$ automorphic forms

Yongxiao Lin, Qingfeng Sun

Let $π$ be a Hecke--Maass cusp form for $S L_{3} (Z)$ with normalized Hecke eigenvalues $λ_{π} (n, r)$ . Let $f$ be a holomorphic or Maass cusp form for $S L_{2} (Z)$ …

math.NT2019★ 7 cited

Algebraic twists of $GL_{3} \times GL_{2}$ $L$ -functions

Yongxiao Lin, Philippe Michel, Will Sawin

We prove that the coefficients of a $GL_{3} \times GL_{2}$ Rankin--Selberg $L$ -function do not correlate with a wide class of trace functions of small conductor modulo…

math.NT2019

Cancellation in additively twisted sums on $GL (2)$ with non-linear phase

Yongxiao Lin, Zhi Qi

Let $λ_{g} (n)$ be the Fourier coefficients of a holomorphic cusp modular form $g$ for $SL_{2} (Z)$ . The aim of this article is to get non-trivial bound on non-linear…

math.NT2019

A Bessel delta-method and exponential sums for GL(2)

Keshav Aggarwal, Roman Holowinsky, Yongxiao Lin +1

In this paper, we introduce a simple Bessel $δ$ -method to the theory of exponential sums for $G L_{2}$ . Some results of Jutila on exponential sums are generalized in a less techni…

math.NT2018★ 10 cited

The Burgess bound via a trivial delta method

Keshav Aggarwal, Roman Holowinsky, Yongxiao Lin +1

Let $g$ be a fixed Hecke cusp form for $SL (2, Z)$ and $χ$ be a primitive Dirichlet character of conductor $M$ . The best known subconvex bound for $L(1/2,g\otimes χ…

math.NT2018★ 8 cited

Bounds for twists of $GL (3)$ $L$ -functions

Yongxiao Lin

Let $π$ be a fixed Hecke--Maass cusp form for $SL (3, Z)$ and $χ$ be a primitive Dirichlet character modulo $M$ , which we assume to be a prime. Let $L(s,π\otimes χ)…

math.NT2016★ 3 cited

Triple correlations of Fourier coefficients of cusp forms

Yongxiao Lin

We treat an unbalanced shifted convolution sum of Fourier coefficients of cusp forms. As a consequence, we obtain an upper bound for correlation of three Hecke eigenvalues of holom…

The second moment of twisted modular L-functions and Dirichlet L-functions at the central point

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

On algebraic twists with composite moduli, II

Short mollifiers of the Riemann zeta-function

Strong Hybrid Subconvexity for Twisted Selfdual GL3​ L-Functions

On algebraic twists with composite moduli

Rankin-Selberg coefficients in large arithmetic progressions

Strong subconvexity for self-dual GL(3) L-functions

Analytic twists of GL2​×GL2​ automorphic forms

Averages of coefficients of a class of degree 3 L-functions

Analytic twists of GL3​×GL2​ automorphic forms

Algebraic twists of GL3​×GL2​ L-functions

Cancellation in additively twisted sums on GL(2) with non-linear phase

A Bessel delta-method and exponential sums for GL(2)

The Burgess bound via a trivial delta method

Bounds for twists of GL(3) L-functions

Triple correlations of Fourier coefficients of cusp forms

The second moment of twisted modular $L$ -functions and Dirichlet $L$ -functions at the central point

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

Strong subconvexity for self-dual $GL (3)$ $L$ -functions

Analytic twists of $G L_{2} \times G L_{2}$ automorphic forms

Analytic twists of $G L_{3} \times G L_{2}$ automorphic forms

Algebraic twists of $GL_{3} \times GL_{2}$ $L$ -functions

Cancellation in additively twisted sums on $GL (2)$ with non-linear phase

Bounds for twists of $GL (3)$ $L$ -functions