Qingfeng Sun

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20242026

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math.NT2026

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

Qingfeng Sun, Hui Wang

Let $S (t, f) = I ¨ ^{- 1} ar g L (1/2 + i t, f)$ , 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.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 $I^¼_{F} = (I^¼_{F, 1}, I^¼_{F, 2}, I^¼_{F, 3})$ and the associated $L$ -function $L(s,…

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 $I ¨ _{r}$ . Let $q$ be an odd prime with $(q, r) = 1$ and let $I ¨ $ be a primitive D…

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

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

On an unconditional GL3​ analog of Selberg's result

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

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 $S (t)$

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

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

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 $S (t)$