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A cubic analogue of the cuspidal theta representations

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Publication:1057311
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zbMath0563.10022MaRDI QIDQ1057311

Ilya I. Piatetski-Shapiro, Samuel James Patterson

Publication date: 1984

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)


zbMATH Keywords

automorphic representationmetaplectic groupsconverse theorem of Hecke theorycuspidaltheta-representationsthree-fold metaplectic cover of \(GL_ 3\)


Mathematics Subject Classification ID

Representation-theoretic methods; automorphic representations over local and global fields (11F70) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)


Related Items (7)

Some Euler products associated with cubic metaplectic forms on GL(3) ⋮ A tower of theta correspondences for \(G_ 2\) ⋮ On the automorphic theta representation for simply laced groups ⋮ Generating functions on covering groups ⋮ Hecke \(L\)-functions and Fourier coefficients of covering Eisenstein series ⋮ Unnamed Item ⋮ Criteria for the existence of cuspidal theta representations







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