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Unipotent orbits and local L-functions
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Volker Heiermann
Published/Copyright:
August 16, 2006
Abstract
In a previous article (Orbites unipotentes et pôles d'ordre maximal de la fonction μ de Harish-Chandra, to appear in Canad. J. Math.), we have assumed the existence of the local Langlands correspondence for supercuspidal representations and deduced from this a local Langlands correspondence for discrete series representations and beyond (without going into the structure of the L-packets). The aim of the present article is to show that this extension of the local Langlands correspondence for supercuspidal representations (and some of the assumptions in the article above) is compatible with the theory of L-functions due to Langlands-Shahidi.
Received: 2005-03-10
Published Online: 2006-08-16
Published in Print: 2006-07-01
© Walter de Gruyter
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Articles in the same Issue
- Free boundary regularity below the continuous threshold: 2-phase problems
- Lp-theory of the Navier-Stokes flow in the exterior of a moving or rotating obstacle
- The Kirillov-Reshetikhin conjecture and solutions of T-systems
- Hyperbolicity of nodal hypersurfaces
- Unipotent orbits and local L-functions
- Circular sets of prime numbers and p-extensions of the rationals
- The μ-invariant of anticyclotomic L-functions of imaginary quadratic fields
- Zum Hauptsatz von C. Jordan über ganzzahlige Darstellungen endlicher Gruppen
- Mild pro-p-groups and Galois groups of p-extensions of ℚ
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