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  1. ; (, Compositio Mathematica)
    We construct analogues of Rankin–Selberg integrals for Speh representations of the general linear group over a $$p$$ -adic field. The integrals are in terms of the (extended) Shalika model and are expected to be the local counterparts of (suitably regularized) global integrals involving square-integrable automorphic forms and Eisenstein series on the general linear group over a global field. We relate the local integrals to the classical ones studied by Jacquet, Piatetski-Shapiro and Shalika. We also introduce a unitary structure for Speh representation on the Shalika model, as well as various other models including Zelevinsky’s degenerate Whittaker model. 
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  2. (, Advanced lectures in mathematics)
    We report on the work with E. Lapid about a conjecture relating Whittaker- Fourier coefficients of cusp forms to special values of L−functions. 
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    Accepted Manuscript Full Text Available