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

Number Theory 2024-07-26 v1

Abstract

In this paper, we extend the twisted spectral large sieve inequalities of Deshouillers, Iwaniec, Luo, and Young from SL2(Z)\mathrm{SL}_2 (\mathbb{Z}) onto PGL2(Z[i])\mathrm{PGL}_2 (\mathbb{Z}[i]).

Keywords

Cite

@article{arxiv.2407.17711,
  title  = {On the Twisted Spectral Large Sieve Inequality for $\mathrm{PGL}_2 (\mathbb{Z}[i]) \backslash \mathrm{PGL}_2 (\mathbb{C})$},
  author = {Zhi Qi},
  journal= {arXiv preprint arXiv:2407.17711},
  year   = {2024}
}

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24 pages