A large sieve inequality of Elliott–Montgomery–Vaughan type for automorphic forms on GL$_3$

Xuanxuan Xiao; Zhao Xu

doi:10.4171/rmi/1098

JournalsrmiVol. 35, No. 6pp. 1693–1714

A large sieve inequality of Elliott–Montgomery–Vaughan type for automorphic forms on GL $_{3}$

Xuanxuan Xiao
Macau University of Science and Technology, China
Zhao Xu
Shandong University, Jinan, Shandong, China

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Abstract

We get a large sieve inequality of Elliott–Montgomery–Vaughan type for automorphic forms on GL $_{3}$ in short intervals. As an application, we give a statistical result of sign changes for Hecke eigenvalues $A_{j} (p, p)$ .

Cite this article

Xuanxuan Xiao, Zhao Xu, A large sieve inequality of Elliott–Montgomery–Vaughan type for automorphic forms on GL $_{3}$ . Rev. Mat. Iberoam. 35 (2019), no. 6, pp. 1693–1714

DOI 10.4171/RMI/1098