Qingfeng Sun

activity

20222025

collaborators

7 papers

math.NT2025

A Selberg-type zero-density result for twisted $G L_{2}$ $L$ -functions and its application

Qingfeng Sun, Hui Wang, Yanxue Yu

Let $f$ be a fixed holomorphic primitive cusp form of even weight $k$ , level $r$ and trivial nebentypus $χ_{r}$ . Let $q$ be an odd prime with $(q, r) = 1$ and let $χ$ be a primitive Dir…

math.NT2025

On an unconditional $G L_{3}$ analog of Selberg's result

Qingfeng Sun, Hui Wang

Let $F$ be a Hecke--Maass cusp form for $SL_{3} (Z)$ with the Langlands parameter $μ_{F} = (μ_{F, 1}, μ_{F, 2}, μ_{F, 3})$ and the associated $L$ -function $L (s, F)$ …

math.NT2024

A zero-density estimate for $L$ -functions associated with $GL (3)$ Hecke--Maass cusp forms

Qingfeng Sun, Hui Wang

In this paper, we establish an asymptotic formula for the twisted second moment of $L$ -functions associated with Hecke--Maass cusp forms for $SL (3, Z)$ , and further ded…

math.NT2024

On an unconditional spectral analog of Selberg's result on $S (t)$

Qingfeng Sun, Hui Wang

Let $S_{j} (t) = \frac{1}{π} ar g L (1/2 + i t, u_{j})$ , where $u_{j}$ is an even Hecke--Maass cusp form for $S L_{2} (Z)$ with Laplacian eigenvalue $λ_{j} = \frac{1}{4} + t_{j}^{2}$ . Without assum…

math.NT2024

On a level analog of Selberg's result on $S (t)$

Qingfeng Sun, Hui Wang

Let $S (t, f) = π^{- 1} ar g L (1/2 + i t, f)$ , where $f$ is a holomorphic Hecke cusp form of weight $2$ and prime level $q$ . In this paper, we establish an unconditional asymptotic formula…

math.NT2024

Higher order divisor functions over values of mixed powers

Chenhao Du, Qingfeng Sun

Let $τ_{k} (n)$ be the $k$ -th divisor function. In this paper, we derive an asymptotic formula for the sum $$ \sum_{1\leq n_1,n_2, \dots, n_{\ell}\leq X^{\frac{1}{r}} \atop 1\leq n_{\…

math.NT2022

A bound for twists of $G L_{3} \times G L_{2}$ $L$ -functions with composite modulus

Qingfeng Sun, Yanxue Yu

Let $π$ be a Hecke-Maass cusp form for $S L_{3} (Z)$ and let $g$ be a holomorphic or Maass cusp form for $S L_{2} (Z)$ . Let $χ$ be a primitive Dirichlet character…

A Selberg-type zero-density result for twisted GL2​ L-functions and its application

On an unconditional GL3​ analog of Selberg's result

A zero-density estimate for L-functions associated with GL(3) Hecke--Maass cusp forms

On an unconditional spectral analog of Selberg's result on S(t)

On a level analog of Selberg's result on S(t)

Higher order divisor functions over values of mixed powers

A bound for twists of GL3​×GL2​ L-functions with composite modulus

A Selberg-type zero-density result for twisted $G L_{2}$ $L$ -functions and its application

On an unconditional $G L_{3}$ analog of Selberg's result

A zero-density estimate for $L$ -functions associated with $GL (3)$ Hecke--Maass cusp forms

On an unconditional spectral analog of Selberg's result on $S (t)$

On a level analog of Selberg's result on $S (t)$

A bound for twists of $G L_{3} \times G L_{2}$ $L$ -functions with composite modulus