Theta functions on the \(n\)-fold metaplectic cover of \(SL(2)\) --- the function field case

DOI10.1007/BF01231881zbMath0761.11024MaRDI QIDQ1187478

Jeffrey Hoffstein

Publication date: 22 July 1992

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143957

zbMATH Keywords

Eisenstein seriesFourier coefficientsRankin-Selberg integralresiduesrational function field\(n\)-fold cover of SL(2)biquadratic theta seriesmetaplectic theta functions

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Fourier coefficients of automorphic forms (11F30)

Related Items (7)

The mean values of cubic \(L\)-functions over function fields ⋮ Twisted Weyl group multiple Dirichlet series over the rational function field ⋮ Mean values of \(L\)-functions over function fields ⋮ Constructing Weyl group multiple Dirichlet series ⋮ NOTE ON A PAPER OF J. HOFFSTEIN ⋮ The \(GL(2)\) Rankin-Selberg method for functions not of rapid decay ⋮ Nonvanishing for cubic L-functions

Cites Work

• Metaplectic forms
• Sur certains groupes d'opérateurs unitaires
• On modular forms of half integral weight
• Rankin-Selberg convolutions of generalized theta series.
• Some results on the coefficients of the biquadratic theta series.
• Average values of L-series in function fields.
• A cubic analogue of the theta series.
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