Z. Qi

activity

20242026

collaborators

5 papers

math.NT2026

Luo's Spectral Large Sieve Inequality on Short Intervals

Zhi Qi, Ruihua Qiao

Let $u_{j}$ traverse an orthonormal basis of Hecke--Maass forms for $SL_{2} (Z)$ with Hecke eigenvalues $λ_{j} (n)$ and Laplace eigenvalue $1/4 + t_{j}^{2}$ . In this paper…

math.NT2026

On the Second Moment of $L (1/2, As (f) \times ϕ)$

Changlin Li, Zhi Qi

Let $F = Q (D)$ be a real quadratic field. In this paper, we establish a large sieve inequality for the Asai lifts $As (f)$ with $f$ in a Hecke or…

math.NT2025

The Second Moment of $GL_{4} \times GL_{2}$ $L$ -functions at Special Points

Zhi Qi, Ruihua Qiao

In this paper, we provide an alternative proof of Chandee and Li's result on the second moment of $GL_{4} \times GL_{2}$ special $L$ -values. Our method is conceptuall…

math.NT2024

On the Twisted Spectral Large Sieve Inequality for $PGL_{2} (Z [i]) \ PGL_{2} (C)$

Zhi Qi

In this paper, we extend the twisted spectral large sieve inequalities of Deshouillers, Iwaniec, Luo, and Young from $SL_{2} (Z)$ onto $\mathrm{PGL}_2 (\mathbb{Z}[i…

math.NT2024

Symmetric Square Large Sieve for $PSL_{2} (Z [i]) \ PSL_{2} (C)$ and Prime Geodesic Theorem for $PSL_{2} (Z [i]) \ H^{3}$

Zhi Qi

In this paper, we improve the error term in the prime geodesic theorem for the Picard manifold $PSL_{2} (Z [i]) \ H^{3}$ . Instead of $ \mathrm{P…

Luo's Spectral Large Sieve Inequality on Short Intervals

On the Second Moment of L(1/2,As(f)×ϕ)

The Second Moment of GL4​×GL2​ L-functions at Special Points

On the Twisted Spectral Large Sieve Inequality for PGL2​(Z[i])\PGL2​(C)

Symmetric Square Large Sieve for PSL2​(Z[i])\PSL2​(C) and Prime Geodesic Theorem for PSL2​(Z[i])\H3

On the Second Moment of $L (1/2, As (f) \times ϕ)$

The Second Moment of $GL_{4} \times GL_{2}$ $L$ -functions at Special Points

On the Twisted Spectral Large Sieve Inequality for $PGL_{2} (Z [i]) \ PGL_{2} (C)$

Symmetric Square Large Sieve for $PSL_{2} (Z [i]) \ PSL_{2} (C)$ and Prime Geodesic Theorem for $PSL_{2} (Z [i]) \ H^{3}$