Erratum to "On the Non-vanishing of the Central Value of the Rankin-Selberg L-functions"
We complete the proof of Proposition 5.3 of [GJR04].
math.NT↗
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Publications and source records attributed to Stephen Rallis.
We complete the proof of Proposition 5.3 of [GJR04].
Let $π$ be a cuspidal generic representation of ${\rm SO}(2n+1,\A)$. We prove that $L(\frac12,π)\ge0$.
In this paper, we begin the study of poles of partial L-functions L^S(sigma tensor tau,s), where sigma tensor tau is an irreducible, automorphic, cuspidal, generic (i.e. with nontrivial Whittaker coefficient) representation of G_A x GL_m(A). G is a split classical group and A is the adele ring of a number field F. We also consider tilde{Sp}_{2n}(A) x GL_m(A), where tilde denotes the metaplectic cover.