Results 1 to 10 of about 44 (44)

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

open access: yesForum 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

open access: yesForum 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

open access: yesForum 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

open access: yes
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  
Some of the next articles are maybe not open access.

Generic transfer for general spin groups

Duke Mathematical Journal, 2006
Freydoon Shahidi
exaly  

Rational conjugacy classes in reductive groups

Duke Mathematical Journal, 1982
Robert E Kottwitz
exaly  

Some examples of automorphic forms on Sp4

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

On Spin L-functions for orthogonal groups

Duke Mathematical Journal, 1995
David Ginzburg
exaly  

On the Siegel-Weil theorem for loop groups, I

Duke Mathematical Journal, 2011
Zhu Yongchang, Howard Garland
exaly  

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