The twisted symmetric square L-function of GL(r)
نویسندگان
چکیده
منابع مشابه
On the Symmetric Square. Unstable Twisted Characters
We provide a purely local computa t ion of the (elliptic) twisted (by "transpose-inverse") character of the representat ion w = I (1) of PGL(3) over a p-adic field induced from the trivial representat ion of the maximal parabolic subgroup. This computa t ion is independent of the theory of the symmetr ic square lifting of [IV] of automorphic and admissible representat ions of SL(2) to PGL(3). I...
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In modern number theory there are famous theorems on the modularity of Dirichlet series attached to geometric or arithmetic objects. There is Hecke’s converse theorem, Wiles proof of the Taniyama-Shimura conjecture, and Fermat’s Last Theorem to name a few. In this article in the spirit of the Langlands philosophy we raise the question on the modularity of the GL2-twisted spinor L-function ZG⊗h(...
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ژورنال
عنوان ژورنال: Duke Mathematical Journal
سال: 2014
ISSN: 0012-7094
DOI: 10.1215/00127094-2405497