On Drinfeld type automorphic forms and Rankin triple product L-functions over function fields

Automorphic forms of Drinfeld type can be viewed as function field analogue of weight 2 modular forms. After a brief review of basic facts about Drinfeld type cusp forms, I will discuss the Rankin triple product L-functions associated to these forms. From the Garrett-type integral representation, we obtain the functional equation of these L-functions. When the "root number" is positive, I present an analogue of the Gross-Kudla formula for the central critical values. Two examples will be shown at the end.