Qingfeng Sun

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20242026

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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…

math.NT2024

Higher order divisor functions over values of mixed powers

Chenhao Du, Qingfeng Sun

Let $I ¨ _{k} (n)$ 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_{…

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)

Higher order divisor functions over values of mixed powers

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 $S (t)$