Special values and mixed weight triple products (with an appendix by Don Blasius) (Q579303)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Special values and mixed weight triple products (with an appendix by Don Blasius) |
scientific article; zbMATH DE number 4014814
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Special values and mixed weight triple products (with an appendix by Don Blasius) |
scientific article; zbMATH DE number 4014814 |
Statements
Special values and mixed weight triple products (with an appendix by Don Blasius) (English)
0 references
1987
0 references
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.
0 references
triple product L-function
0 references
weight-raising differential operators
0 references
integral representation
0 references
L-function of three cusp forms
0 references
critical values
0 references
0 references
