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 language | English (US) |
---|---|
Pages (from-to) | 109-132 |
Number of pages | 24 |
Journal | Forum Mathematicum |
Volume | 13 |
Issue number | 1 |
DOIs | |
State | Published - 2001 |
Bibliographical note
Funding Information:The second named author is partially supported by NSF grant DMS-9896257.