Qingfeng Sun

activity

20152025

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

automorphic forms

29 citations · 49 across the 16 of their papers we have counts for

collaborators

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16 papers · 1 filter

math.NT2025

On $G L_{3}$ Fourier coefficients over values of mixed powers

Qingfeng Sun, Yanxue Yu

Let $A_{π} (n, 1)$ be the $(n, 1)$ -th Fourier coefficient of the Hecke-Maass cusp form $π$ for $S L_{3} (Z)$ and $ω (x)$ be a smooth compactly supported function. In this paper…

math.NT2022

On some estimates involving Fourier coefficients of Maass cusp forms

Qingfeng Sun, Hui Wang

Let $f$ be a Hecke-Maass cusp form for $S L_{2} (Z)$ with Laplace eigenvalue $λ_{f} (Δ) = 1/4 + μ^{2}$ and let $λ_{f} (n)$ be its $n$ -th normalized Fourier coefficient. It is proved t…

math.NT2021

Uniform subconvex bounds for Rankin-Selberg $L$ -functions

Qingfeng Sun

Let $f$ be a Maass cusp form for $S L_{2} (Z)$ with Laplace eigenvalue $1/4 + μ_{f}^{2}$ , $μ_{f} > 0$ . Let $g$ be an arbitrary but fixed holomorphic or Maass cusp form for $\rm SL_2…

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

Bounds for $G L_{2} \times G L_{2}$ $L$ -functions in depth aspect

Qingfeng Sun

Let $f$ and $g$ be holomorphic or Maass cusp forms for $S L_{2} (Z)$ and let $χ$ be a primitive Dirichlet character of prime power conductor $q = p^{κ}$ with $p$ pr…

math.NT2020★ 1 cited

A Bessel $δ$ -method and hybrid bounds for $GL_{2}$

Yilan Fan, Qingfeng Sun

Let $g$ be a primitive holomorphic or Maass newform for $Γ_{0} (D)$ . In this paper, by studying the Bessel integrals associated to $g$ , we prove an asymptotic Bessel $δ$ -identity asso…

math.NT2020

A subconvex bound for twisted $L$ -functions

Qingfeng Sun, Hui Wang

Let $q > 2$ be a prime number, $χ$ a primitive Dirichlet character modulo $q$ and $f$ a primitive holomorphic cusp form or a Hecke-Maass cusp form of level $\ma…

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.NT2018★ 2 cited

Bounds for $G L_{3}$ $L$ -functions in depth aspect

Qingfeng Sun, Rui Zhao

Let $f$ be a Hecke-Maass cusp form for $S L_{3} (Z)$ and $χ$ a primitive Dirichlet character of prime power conductor $q = p^{κ}$ with $p$ prime and $κ \geq 10$ . We prov…

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.NT2017

Shifted convolution sums involving theta series

Qingfeng Sun

Let $f$ be a cuspidal newform (holomorphic or Maass) of arbitrary level and nebentypus and denote by $λ_{f} (n)$ its $n$ -th Hecke eigenvalue. Let $$ r(n)=\#\left\{(n_1,n_2)\in \mathbb…

math.NT2017★ 2 cited

Hybrid bounds for twists of $G L (3)$ $L$ -functions

Qingfeng Sun

Let $π$ be a Hecke-Maass cusp form for $S L (3, Z)$ and $χ = χ_{1} χ_{2}$ a Dirichlet character with $χ_{i}$ primitive modulo $M_{i}$ . Suppose that $M_{1}$ , $M_{2}$ are primes such that $\m…

math.NT2017

Averages of shifted convolution sums for $G L (3) \times G L (2)$

Qingfeng Sun

Let $A_{f} (1, n)$ be the normalized Fourier coefficients of a $G L (3)$ Maass cusp form $f$ and let $a_{g} (n)$ be the normalized Fourier coefficients of a $G L (2)$ cusp form $g$ . Let $λ(n)…

math.NT2016★ 2 cited

A note on simultaneous nonvanishing of Dirichlet $L$ -functions and twists of Hecke-Maass $L$ -functions

Qingfeng Sun

In this note, we prove that given a Hecke-Maass cusp form $f$ for $S L_{2} (Z)$ and a sufficiently large integer $q = q_{1} q_{2}$ with $q_{j} ≍ q$ being prime numbers for $…

math.NT2015★ 3 cited

Sums of the triple divisor function over values of a ternary quadratic form

Qingfeng Sun, Deyu Zhang

Let $τ_{3} (n)$ be the triple divisor function which is the number of solutions of the equation $d_{1} d_{2} d_{3} = n$ in natural numbers. It is shown that $$ \sum_{1\leq n_1,n_2,n_3\leq \sqrt…

math.NT2015

Shifted convolution sums of $G L_{3}$ cusp forms with $θ$ -series

Qingfeng Sun

Let $A_{f} (1, n)$ be the normalized Fourier coefficients of a Hecke-Maass cusp form $f$ for $S L_{3} (Z)$ and $$ r_3(n)=\#\left\{(n_1,n_2,n_3)\in \mathbb{Z}^3:n_1^2+n_2^2+n_3^2=n…

On GL3​ Fourier coefficients over values of mixed powers

On some estimates involving Fourier coefficients of Maass cusp forms

Uniform subconvex bounds for Rankin-Selberg L-functions

Analytic twists of GL2​×GL2​ automorphic forms

Bounds for GL2​×GL2​ L-functions in depth aspect

A Bessel δ-method and hybrid bounds for GL2​

A subconvex bound for twisted L-functions

Analytic twists of GL3​×GL2​ automorphic forms

Bounds for GL3​ L-functions in depth aspect

The Burgess bound via a trivial delta method

Shifted convolution sums involving theta series

Hybrid bounds for twists of GL(3) L-functions

Averages of shifted convolution sums for GL(3)×GL(2)

A note on simultaneous nonvanishing of Dirichlet L-functions and twists of Hecke-Maass L-functions

Sums of the triple divisor function over values of a ternary quadratic form

Shifted convolution sums of GL3​ cusp forms with θ-series

On $G L_{3}$ Fourier coefficients over values of mixed powers

Uniform subconvex bounds for Rankin-Selberg $L$ -functions

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

Bounds for $G L_{2} \times G L_{2}$ $L$ -functions in depth aspect

A Bessel $δ$ -method and hybrid bounds for $GL_{2}$

A subconvex bound for twisted $L$ -functions

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

Bounds for $G L_{3}$ $L$ -functions in depth aspect

Hybrid bounds for twists of $G L (3)$ $L$ -functions

Averages of shifted convolution sums for $G L (3) \times G L (2)$

A note on simultaneous nonvanishing of Dirichlet $L$ -functions and twists of Hecke-Maass $L$ -functions

Shifted convolution sums of $G L_{3}$ cusp forms with $θ$ -series