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We give a new proof of the known subconvexity bound of spectral mean values of some GL(2) L-functions at s=12 coming from the Rankin–Selberg L-functions of a GL(3) Eisenstein series and a GL(2) or Γ0(q) Maass form, as well as a new result in the twisted case. This is inspired by X. Liʼs result on the bounds for GL(3)×GL(2) L-functions of Hecke–Maass forms.
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