Let E/F be a quadratic extension of number fields. For a cuspidal representation π of SL2(AE), we study in this paper the integral of functions in π on SL2(F)\SL2(AF). We characterize the nonvanishing of these integrals, called period integrals, in terms of π having a Whittaker model with respect to characters of E\AE which are trivial on AF . We show that… (More)

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