Metaplectic Eisenstein series and the Bump-Hoffstein conjecture

DOI10.1215/S0012-7094-97-09016-5zbMath0895.11020OpenAlexW1509445507MaRDI QIDQ1376026

Toshiaki Suzuki

Publication date: 20 September 1998

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-97-09016-5

zbMATH Keywords

Fourier expansiongeneralized theta functionsWhittaker modelmetaplectic groupsmetaplectic forms

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) 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 (8)

Remarks on metaplectic tensor products for covers of \(\mathrm{GL}_r\) ⋮ Mean square values of Hecke \(L\)-series formed with \(r\)-th order characters ⋮ Generalized Bump-Hoffstein conjecture for coverings of the general linear groups ⋮ Hecke \(L\)-functions and Fourier coefficients of covering Eisenstein series ⋮ Kazhdan-Lusztig representations and Whittaker space of some genuine representations ⋮ Unramified Whittaker functions for certain Brylinski-Deligne covering groups ⋮ On the Local Coefficients Matrix for Coverings of $$\mathrm{SL}_2$$SL2 ⋮ Local Coefficients and Gamma Factors for Principal Series of Covering Groups

Cites Work

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• Metaplectic forms
• Some Euler products associated with cubic metaplectic forms on GL(3)
• Rankin-Selberg convolutions of generalized theta series.
• On the biquadratic theta series.

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