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A relation between automorphic forms on GL(2) and GL(3)

Let ρ(n) denote the standard n-dimensional representation of GL(n,C) and ρ(n)(2) its symmetric square. For each automorphic cuspidal representation π of GL(2,A) we introduce an Euler product L(s,π,ρ(2)(2)) of degree 3 which we prove is entire. We also prove that there exists an automorphic represent...

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Veröffentlicht in:Proc Natl Acad Sci U S A
Hauptverfasser: Gelbart, Stephen, Jacquet, Hervé
Format: Artigo
Sprache:Inglês
Veröffentlicht: National Academy of Sciences 1976
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Online-Zugang:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC431110/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16592351/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.73.10.3348
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