On the Twisted Spectral Large Sieve Inequality for $\mathrm{PGL}_2 (\mathbb{Z}[i]) \backslash \mathrm{PGL}_2 (\mathbb{C})$

Fuente: arXiv
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Autore principale: Qi, Zhi
Natura: Preprint
Pubblicazione: 2024
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_version_ 1866911966507827200
author Qi, Zhi
author_facet Qi, Zhi
contents In this paper, we extend the twisted spectral large sieve inequalities of Deshouillers, Iwaniec, Luo, and Young from $\mathrm{SL}_2 (\mathbb{Z})$ onto $\mathrm{PGL}_2 (\mathbb{Z}[i])$.
format Preprint
id arxiv_https___arxiv_org_abs_2407_17711
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On the Twisted Spectral Large Sieve Inequality for $\mathrm{PGL}_2 (\mathbb{Z}[i]) \backslash \mathrm{PGL}_2 (\mathbb{C})$
Qi, Zhi
Number Theory
11F30, 11F72, 33C10
In this paper, we extend the twisted spectral large sieve inequalities of Deshouillers, Iwaniec, Luo, and Young from $\mathrm{SL}_2 (\mathbb{Z})$ onto $\mathrm{PGL}_2 (\mathbb{Z}[i])$.
title On the Twisted Spectral Large Sieve Inequality for $\mathrm{PGL}_2 (\mathbb{Z}[i]) \backslash \mathrm{PGL}_2 (\mathbb{C})$
topic Number Theory
11F30, 11F72, 33C10
url https://arxiv.org/abs/2407.17711