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Endoscopic $L$-Functions and a Combinatorial Identity

  Published:1999-12-01
 Printed: Dec 1999
  • James Arthur
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Abstract

The trace formula contains terms on the spectral side that are constructed from unramified automorphic $L$-functions. We shall establish an identify that relates these terms with corresponding terms attached to endoscopic groups of $G$. In the process, we shall show that the $L$-functions of $G$ that come from automorphic representations of endoscopic groups have meromorphic continuation.
MSC Classifications: 22E45, 22E46 show english descriptions Representations of Lie and linear algebraic groups over real fields: analytic methods {For the purely algebraic theory, see 20G05}
Semisimple Lie groups and their representations
22E45 - Representations of Lie and linear algebraic groups over real fields: analytic methods {For the purely algebraic theory, see 20G05}
22E46 - Semisimple Lie groups and their representations
 

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