\(p\)-adic Whittaker functions on the metaplectic group

DOI10.1215/S0012-7094-91-06316-7zbMath0758.22009MaRDI QIDQ1179170

Jeffrey Hoffstein, Solomon Friedberg, Daniel Bump

Publication date: 26 June 1992

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

zbMATH Keywords

local fieldholomorphic continuationCartan subgroupunipotentslocal Hilbert symbolmetaplectic double covernonramified Whittaker functionsnormalized metaplectic Whittaker functionunramified genuine characters

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Representations of Lie and linear algebraic groups over local fields (22E50) Analysis on other specific Lie groups (43A80)

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Cites Work

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• Nonvanishing theorems for L-functions of modular forms and their derivatives
• A nonvanishing theorem for derivatives of automorphic 𝐿-functions with applications to elliptic curves
• On an explicit formula for class-$1$ “Whittaker functions” on $GL_n $ over $\beta $-adic fields
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