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Noninvariant base change identities

Jean-Pierre Labesse

1995Mémoires de la Société mathématique de FranceEngineering被引 17开放获取

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摘要

We prove, in the cyclic base change situation for the group GZ/(n), an identity between noninvariant trace formulas for pairs of strongly associated functions. We construct sufficiently many such pairs of functions in order to get a new proof of the existence of base change for automorphic representations of GL(n) over a number field. Our proof is more direct and elementary than Arthur and ClozePs one, although based on a similar method: a trace formula identity.

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Jean-Pierre Labesse. Noninvariant base change identities[J]. Mémoires de la Société mathématique de France, 1995.

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DOI:https://doi.org/10.24033/msmf.375

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