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Endoscopic $L$-Functions and a Combinatorial Identity

Published online by Cambridge University Press:  20 November 2018

James Arthur
James Arthur*
Affiliation:
Department of Mathematics, University of Toronto, Toronto, Ontario, M5S 3G3
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Abstract

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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.

Keywords

22E4522E46
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 51 , Issue 6 , 01 December 1999 , pp. 1135 - 1148
Copyright
Copyright © Canadian Mathematical Society 1999

References

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