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Some Results on L-Indistinguishability for SL(r)

Published online by Cambridge University Press:  20 November 2018

Freydoon Shahidi
Freydoon Shahidi*
Affiliation:
Purdue University, West Lafayette, Indiana
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Fix a positive integer r. Let AF be the ring of adeles of a number field F. For a parabolic subgroup P of SLr, we fix a Levi decomposition P = MN, and we let

Let be the Weyl group of . It follows from a recent work of James Arthur [1,2] (also cf. [3]) that, among the terms appearing in the trace formula for SLr(AF), coming from the Eisenstein series, are those which are a constant multiple (depending only on M and w) of

1

where σ is a cusp form on M(AF) satisfying wσ ≅ σ,

and

in the notation of [2, 3]).

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 35 , Issue 6 , 01 December 1983 , pp. 1075 - 1109
Copyright
Copyright © Canadian Mathematical Society 1983

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