Z. Qi

activity

20232026

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Showing 2024Show all

3 papers · 1 filter

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…

math.NT2024

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

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{…

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

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 $PSL_{2} (Z [i]) \ H^{3}$

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