Nonvanishing of the central critical value of the third symmetric power L-functions

David Ginzburg, Dihua Jiang, Stephen Rallis

Research output: Contribution to journalArticle

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Abstract

In this paper we characterize the nonvanishing of the central critical value of the third symmetric power L-functions of irreducible cuspidal automorphic representations π of GL2(double-struck A sign) in terms of the occurrence of π in the spectral decomposition of the tensor product of two automorphic theta representations on the cubic cover of GL2(double-struck A sign), which was constructed by Kazhdan and Patterson in [KP].

Original languageEnglish (US)
Pages (from-to)109-132
Number of pages24
JournalForum Mathematicum
Volume13
Issue number1
DOIs
StatePublished - Jan 1 2001

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