EXPLICIT DOUBLING INTEGRALS FOR Sp2(F) AND $\widetilde{{{\rm Sp}}_{2}}(F)$ USING "GOOD TEST VECTORS"

DOI10.1142/S1793042111004046zbMath1222.22017OpenAlexW2259915671MaRDI QIDQ5392208

Christian A. Zorn

Publication date: 8 April 2011

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042111004046

zbMATH Keywords

symplectic groupmetaplectic groupdoubling methodgood test vectors

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (3)

Theta dichotomy for the genuine unramified principal series of \(\widetilde{\text{Sp}}_2(F)\) ⋮ The doubling integral for the principal series of \(\mathrm{Sp}_n(F)\) and \(\widetilde{\mathrm{Sp}}_n(F)\) ⋮ Explicit doubling integrals for ̃𝑆𝑝₂(ℚ₂) using “good test vectors”

Cites Work

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• On the Saito-Kurokawa lifting
• \(L\)-functions and the oscillator representation
• The Langlands quotient theorem for p-adic groups
• Central derivatives of Eisenstein series and height pairings
• On reducibility of parabolic induction
• On some explicit formulas in the theory of Weil representation
• A regularized Siegel-Weil formula: The first term identity
• ε factor of representations of classical groups
• Modular Forms and Special Cycles on Shimura Curves. (AM-161)
• Theta dichotomy for unitary groups

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