On an explicit formula for Whittaker-Shintani functions on \(Sp_ 2\)

DOI10.1007/BF02950759zbMath0757.22003MaRDI QIDQ1187144

Atsushi Murase

Publication date: 28 June 1992

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

zbMATH Keywords

symplectic groupirreducible charactersautomorphic formdual grouplocal Whittaker-Shintani functions

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Analysis on (p)-adic Lie groups (22E35)

Related Items (3)

Shintani functions and automorphic \(L\)-functions for \(GL(n)\) ⋮ An explicit formula of the unramified Shintani functions for \((\mathbf{GSp}_4, \mathbf{GL}_2 \times_{\mathbf{GL}_1} \mathbf{GL}_2)\) ⋮ An explicit formula of the unramified Shintani functions for \((\mathbf{GSp}_4,\mathbf{GL}_2 \times_{\mathbf{GL}_1}\mathbf{GL}_2)\) and its application

Cites Work

• \(p\)-adic Whittaker functions on the metaplectic group
• L-functions attached to Jacobi forms of degree n. Part I. The basic identity.
• On an explicit formula for class-$1$ “Whittaker functions” on $GL_n $ over $\beta $-adic fields
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