A large sieve inequality of Elliott–Montgomery–Vaughan type for automorphic forms on GL
Xuanxuan Xiao
Macau University of Science and Technology, ChinaZhao 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 in short intervals. As an application, we give a statistical result of sign changes for Hecke eigenvalues .
Cite this article
Xuanxuan Xiao, Zhao Xu, A large sieve inequality of Elliott–Montgomery–Vaughan type for automorphic forms on GL. Rev. Mat. Iberoam. 35 (2019), no. 6, pp. 1693–1714
DOI 10.4171/RMI/1098