Let F be the symmetric-square lift with Laplace eigenvalue λ F (Δ) = 1+4µ2. Suppose that |µ| ≤ Λ. We show that F is uniquely determined by the central values of Rankin-Selberg L-functions L(s, F ⋇ h), where h runs over the set of holomorphic Hecke eigen cusp forms of weight κ ≡ 0 (mod 4) with κ≍ϱ+ɛ, t9 = max {4(1+4θ)/(1−18θ), 8(2−9θ)/3(1−18θ)} for any 0 ≤ θ < 1/18 and any ∈ > 0. Here θ is the exponent towards the Ramanujan conjecture for GL2 Maass forms.
@article{bwmeta1.element.doi-10_2478_s11533-014-0404-3,
author = {Qingfeng Sun},
title = {On effective determination of symmetric-square lifts},
journal = {Open Mathematics},
volume = {12},
year = {2014},
pages = {976-990},
zbl = {06308905},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-014-0404-3}
}
Qingfeng Sun. On effective determination of symmetric-square lifts. Open Mathematics, Tome 12 (2014) pp. 976-990. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-014-0404-3/
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