Special values and mixed weight triple products (with an appendix by Don Blasius) (Q579303)

The author generalizes Garrett's integral representation of the triple Rankin zeta-function to the case where the three cusp forms have different weights. This is done using the weight-raising differential operators of Maaß and Shimura. This integral representation is then used to show that the L-function of three cusp forms at critical values differs from the product of the Petersson norms of the three cusp forms by a `good' arithmetic factor.