On the Twisted Spectral Large Sieve Inequality for PGL₂ (ℤ[i]) \backslash PGL₂ (ℂ)

2024/07/25 by Zhi Qi, Qi, Zhi
Mathematics · #Spectral Theory in Mathematical Physics #Mathematical Approximation and Integration #Analytic Number Theory Research

paper · pdf · doi:10.48550/arxiv.2407.17711

Abstract

In this paper, we extend the twisted spectral large sieve inequalities of Deshouillers, Iwaniec, Luo, and Young from SL₂ (ℤ) onto PGL₂ (ℤ[i]).

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