A Local Trace Formula for the Generalized Shalika Model
Résumé
We study a local multiplicity problem related to so-called generalized Shalika models. By establishing a local trace formula for these kinds of models, we are able to prove a multiplicity formula for discrete series. As a result, we can show that these multiplicities are, for discrete series, invariant under the local Jacquet-Langlands correspondence and are related to local exterior square $L$-functions.
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