Zhi Qi

collaborators

3 papers

math.NT2025

Secondary Term for the Mean Value of Maass Special $L$ -values

Zhi Qi

In this paper, we discover a secondary term in the asymptotic formula for the mean value of Hecke--Maass special $L$ -values $L (1/2 + i t_{f}, f)$ with the average over $f (z)$ in an…

math.NT2025

On the Effective Non-vanishing of Hecke--Maass $L$ -functions at Special Points

Zhi Qi

In this paper, we consider the non-vanishing problem for the family of special Hecke--Maass $L$ -values $L (1/2 + i t_{f}, f)$ with $f (z)$ in an orthonormal basis of (even or odd) Hec…

math.NT2025

On the Effective Non-vanishing of Rankin--Selberg $L$ -functions at Special Points

Zhi Qi

Let $Q (z)$ be a holomorphic Hecke cusp newform of square-free level and $u_{j} (z)$ traverse an orthonormal basis of Hecke--Maass cusp forms of full level. Let $1/4 + t_{j}^{2}$ be the…

Secondary Term for the Mean Value of Maass Special L-values

On the Effective Non-vanishing of Hecke--Maass L-functions at Special Points

On the Effective Non-vanishing of Rankin--Selberg L-functions at Special Points

Secondary Term for the Mean Value of Maass Special $L$ -values

On the Effective Non-vanishing of Hecke--Maass $L$ -functions at Special Points

On the Effective Non-vanishing of Rankin--Selberg $L$ -functions at Special Points