\(L\)-functions for the \(p\)-adic group \(GSp(4)\) (Q2702993)

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\(L\)-functions for the \(p\)-adic group \(GSp(4)\)
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    3 May 2001
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    \(L\)-functions
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    \(p\)-adic groups
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    symplectic groups
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    Whittaker functions
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    \(L\)-functions for the \(p\)-adic group \(GSp(4)\) (English)
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    In this paper the author studies the \(p\)-adic theory of the integrals for the similitude symplectic group \(GSp(4)\) introduced by \textit{M.~Novodvorsky} [Proc. Symp. Pure Math. 33, 87-95 (1979; Zbl 0408.12013)] and computes the local \(L\)-factors of such integrals for all generic representations of the group \(GSp(4)\) over a nonarchimedean local field. The main idea used in the paper is to determine the germ expansions of Whittaker functions restricted to the maximal torus in the Siegel parabolic subgroup.
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