On effective determination of symmetric-square lifts

• Autorzy: Qingfeng Sun
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Symmetric-square lift; Effective determination; Rankin-Selberg L-function

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2014
• Tom: 12
• Numer: 7
• Strony: 976-990

Daty

wydano

2014-07-01

online

2014-04-03

Twórcy

autor

Qingfeng Sun

• Shandong University,

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-014-0404-3