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An explicit Watson–Ichino formula with CM newforms

Volume 213 / 2024

Bin Guan Acta Arithmetica 213 (2024), 25-58 MSC: Primary 11F67; Secondary 11F70 DOI: 10.4064/aa230225-23-1 Published online: 26 April 2024

Abstract

We extend the work of Humphries and Khan (2020) to establish an explicit version of Watson–Ichino formula for $L(1/2,f\otimes \mathrm{ad}\,g)$, where $f$ is a Hecke–Maass form and $g$ is a CM newform.

Authors

  • Bin GuanData Science Institute
    Shandong University
    Jinan, Shandong, China
    e-mail

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