On lifting of automorphic forms
Hiroshi Saito (1976-1977)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
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Hiroshi Saito (1976-1977)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
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André Unterberger (1999)
Journées équations aux dérivées partielles
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Taking advantage of methods originating with quantization theory, we try to get some better hold - if not an actual construction - of Maass (non-holomorphic) cusp-forms. We work backwards, from the rather simple results to the mostly devious road used to prove them.
W. Kohnen, J. Sengupta (2001)
Acta Arithmetica
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Stephen Gelbart (1971-1973)
Séminaire Choquet. Initiation à l'analyse
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Janusz Szmidt (1983)
Acta Arithmetica
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Stephen S. Kudla (1980)
Compositio Mathematica
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Qingfeng Sun (2014)
Open Mathematics
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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.
J. Sengupta (2004)
Acta Arithmetica
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Nobushige Kurokawa (1978)
Inventiones mathematicae
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Benedict H. Gross, Stephen S. Kudla (1992)
Compositio Mathematica
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