Z. Qi

activity

20232026

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3 papers · 1 filter

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

Mean Lindelöf Hypothesis and Prime Geodesic Theorem on Bianchi Manifolds

Changlin Li, Zhi Qi

In this paper, we prove the mean Lindelöf hypothesis for the second moment of symmetric square $L$ -functions and thereby obtain the (unconditional) error bound $O (x^{36/23+\vareps…

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…

Luo's Spectral Large Sieve Inequality on Short Intervals

Mean Lindelöf Hypothesis and Prime Geodesic Theorem on Bianchi Manifolds

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

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