\(L\)-functions for the \(p\)-adic group \(GSp(4)\) (Q2702993)
From MaRDI portal
| This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: \(L\)-functions for the \(p\)-adic group \(GSp(4)\) |
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(L\)-functions for the \(p\)-adic group \(GSp(4)\) |
scientific article |
Statements
3 May 2001
0 references
\(L\)-functions
0 references
\(p\)-adic groups
0 references
symplectic groups
0 references
Whittaker functions
0 references
\(L\)-functions for the \(p\)-adic group \(GSp(4)\) (English)
0 references
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.
0 references
0.95096266
0 references
0.91780365
0 references
0.9051165
0 references
0 references
0.89791584
0 references
0.8978348
0 references
0 references