Results 1 to 10 of about 27 (27)

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

La formule des traces tordue pour un corps global de caractéristique p > 0

International audience"Dans ce travail nous adaptons au cas d’un corps global F de caractéristique positive,""c’est-à-dire un corps de fonctions sur un corps fini Fq , les résultats prouvés pour un corps de nombres dans le livre de Labesse-Waldspurger La
Lemaire, Bertrand, Labesse, Jean-Pierre
core  

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

Rational Conjugacy Classes in Reductive Groups

Duke Mathematical Journal, 1982
Robert Kottwitz
exaly  

Stable Trace Formula: Cuspidal Tempered Terms

Duke Mathematical Journal, 1984
Robert Kottwitz
exaly  

Some Examples of Automorphic Forms on Sp4

Duke Mathematical Journal, 1983
Roger Evans Howe, I I Piatetski-Shapiro
exaly