Local Whittaker-Newforms for GSp(4) matching to Langlands parameters

Abstract

We extend the local newform theory of B. Roberts and R. Schmidt for generic, irreducible, admissible representations of PGSp(4) to that for GSp(4). The newform matches to the Langlands parameter.

Cited by in corpus (9)

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• P-adic L-functions and diagonal cycles for GSp(4) x GL(2) x GL(2)
• On the Bloch--Kato conjecture for GSp(4) x GL(2)
• Iwasawa theory for quadratic Hilbert modular forms
• Algebraicity of critical values of adjoint $L$-functions for ${\mathrm{GSp}}_4$
• Distributions and Euler systems for the general linear group
• Newforms of Saito-Kurokawa lifts
• On the Birch-Swinnerton-Dyer conjecture for modular abelian surfaces
• Local newforms for the general linear groups over a non-archimedean local field