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Jacquet modules of the Weil representations and families of relative trace identities

Jacquet modules of the Weil representations and families of relative trace identities

In this paper we show how to predict relative trace identities from the computation of Jacquet modules of the Weil representations. Many previously considered special cases of relative trace identities fit the principle we develop here, including those with important applications on L-functions. We also show how to prove these …