Abstract

We will present explicit central value formulae for the triple product L-functions over number elds by using Ichino's formula [Ich08]. As a consequence, we prove Deligne's conjecture for the central critical values of certain automorphic L-functions for GL2 × GL3. This is a joint work with Shin-Yu Chen.

References

[Ich08] A. Ichino. Trilinear forms and the central values of triple product L-functions. Duke Mathematical Journal, 145(2):281 307, 2008.