On Whittaker coefficients of some metaplectic forms

DOI10.1215/S0012-7094-94-07631-XzbMath0820.11028MaRDI QIDQ1804670

Siegfried Böcherer, Masaaki Furusawa, Rainer Schulze-Pillot

Publication date: 15 May 1995

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

zbMATH Keywords

Fourier coefficientsautomorphic formquaternion algebraholomorphic Hecke eigenformsdouble cover of \(\text{GSp}(4)\)

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Other groups and their modular and automorphic forms (several variables) (11F55)

Related Items (2)

Bessel functionals and Siegel modular forms ⋮ Level aspect of simultaneous nonvanishing for the central 𝐿-values associated to cusp forms

Cites Work

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• On a correspondence of automorphic forms on orthogonal groups of order five
• Distinguished representations and modular forms of half-integral weight
• The Dirichlet series of Koecher and Maaß and modular forms of weight 3/2
• Weil's representation and the spectrum of the metaplectic group
• On a theorem of Waldspurger and on Eisenstein series of Klingen type
• Siegel modular forms and theta series attached to quaternion algebras
• Local Howe correspondence for groups of similitudes.
• Newforms of half-integral weight.
• On L-functions for GSp(4) X GL(2) and their special values.
• Mellin Transforms of Vector Valued Theta Series Attached to Quaternion Algebras

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