Ruihua Qiao

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20242026

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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.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…

Luo's Spectral Large Sieve Inequality on Short Intervals

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

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