Results 1 to 10 of about 46 (36)

Irreducibility criteria for local and global representations [PDF]

, 2011
It is proved that certain types of modular cusp forms generate irreducible automorphic representations of the underlying algebraic group. Analogous Archimedean and non-Archimedean local statements are also given.
Hiro-aki Narita, Ameya Pitale, Ralf Schmidt   +2 more
semanticscholar   +1 more source

A note on the global Langlands conjecture.

Documenta Mathematica, 1998
The theory of base change is used to give some new examples of the Global Langlands Conjecture. The Galois representations involved have solvable image and are not monomial, although some multiple of them in the Grothendieck group is monomial.
Erez Lapid
semanticscholar   +1 more source

Complement to the appendix of: “On the Howe duality conjecture”

, 2013
Let F be a local field, nonarchimedean and of characteristic not 2. Let (V,Q) be a nondegenerate quadratic space over F, of dimension n. Let Mr be the direct sum of r copies of V .
S. Rallis
semanticscholar   +1 more source

On the local $L^2$ -Bound of the Eisenstein series

Forum of Mathematics, Sigma
We study the growth of the local $L^2$ -norms of the unitary Eisenstein series for reductive groups over number fields, in terms of their parameters. We derive a poly-logarithmic bound on an average, for a large class of reductive groups.
Subhajit Jana, Amitay Kamber
doaj   +1 more source

Doubling constructions and tensor product L-functions: coverings of the symplectic group

Forum of Mathematics, Sigma
In this work, we develop an integral representation for the partial L-function of a pair $\pi \times \tau $ of genuine irreducible cuspidal automorphic representations, $\pi $ of the m-fold covering of Matsumoto of the symplectic group $
Eyal Kaplan
doaj   +1 more source

Eisenstein Cohomology for $\mathrm {GL}_N$ and the special values of Rankin–Selberg L-functions over a totally imaginary number field

Forum of Mathematics, Sigma
This article presents new rationality results for the ratios of critical values of Rankin–Selberg L-functions of $\mathrm {GL}(n) \times \mathrm {GL}(n')$ over a totally imaginary field $F.$ The proof is based on a cohomological ...
A. Raghuram
doaj   +1 more source

Fourier expansion along geodesics on Riemann surfaces

Open Mathematics, 2014
Deitmar Anton
doaj   +1 more source

Rationality for isobaric automorphic representations: the CM-case. [PDF]

Mon Hefte Math, 2018
Grobner H.
europepmc   +1 more source

On the notion of the parabolic and the cuspidal support of smooth-automorphic forms and smooth-automorphic representations. [PDF]

Mon Hefte Math
Grobner H, Žunar S.
europepmc   +1 more source

A STABLE TRACE FORMULA. I. GENERAL EXPANSIONS

Journal of the Institute of Mathematics of Jussieu, 2002
James Arthur
semanticscholar   +1 more source