BASE CHANGE AND TRIPLE PRODUCT L-SERIES
Journal
Representation Theory
Journal Volume
26
Pages
402-431
Date Issued
2022
Author(s)
Abstract
Abstract. Let πi be an irreducible cuspidal automorphic representation of GL2 with central character ωi. When ω1ω2ω3 is trivial, Atsushi Ichino proved a formula for the central value (Formula Presented) of the triple product L-series in terms of global trilinear forms. We will extend this formula to the case when ω1ω2ω3 is a quadratic character, giving a non-vanishing criterion of a local trilinear form in terms of the central value of the gamma factor. © 2022. American Mathematical Society
Type
journal article