On explicit lifts of cusp forms from GLm to classical groups
David Ginzburg, Stephen Rallis, David Soudry
Abstract
In this paper, we begin the study of poles of partial L-functions LS(sigma tensor tau,s), where sigma tensor tau is an irreducible, automorphic, cuspidal, generic (i.e. with nontrivial Whittaker coefficient) representation of GA x GLm(A). G is a split classical group and A is the adele ring of a number field F. We also consider tildeSp2n(A) x GLm(A), where tilde denotes the metaplectic cover.
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