From the 1 of 3 linked papers with an AI index.
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On the Second Moment of
Changlin Li, Zhi Qi
The authors prove a large sieve inequality for Asai lifts of Hilbert modular cusp forms over a real quadratic field and use it to obtain a non‑trivial bound for the second moment o…
The Second Moment of -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 special -values. Our method is conceptuall…
On the Hankel Transform of Bessel Functions on Complex Numbers and Explicit Spectral Formulae over the Gaussian Field
Zhi Qi
In this paper, on the complex field , we prove two integral formulae for the Hankel-Mellin transform and the double Fourier-Mellin transform of Bessel functions, both r…
Symmetric Square Large Sieve for and Prime Geodesic Theorem for
Zhi Qi
In this paper, we improve the error term in the prime geodesic theorem for the Picard manifold . Instead of $ \mathrm{P…
On the Twisted Spectral Large Sieve Inequality for
Zhi Qi
In this paper, we extend the twisted spectral large sieve inequalities of Deshouillers, Iwaniec, Luo, and Young from onto $\mathrm{PGL}_2 (\mathbb{Z}[i…
On the Spectral Large Sieve Inequality for
Zhi Qi
In this paper, we introduce concise expressions for the complex Bessel integral that enables us to improve the spectral large sieve inequality of Watt for $\mathrm{PGL}_2 (\mathbb{…