摘要
The aim of this article is to study the special values of Rankin triple product L-functions associated to Drinfeld type newforms of equal square-free levels. The functional equation of these L-functions is deduced from a Garrett-type integral representation and the functional equation of Eisenstein series on the group of similitudes of a symplectic vector space of dimension 6. When the associated root number is positive, we present a function field analogue of Gross-Kudla formula for the central critical value. This formula is then applied to the non-vanishing of L-functions coming from elliptic curves over function fields. © 2013 Springer-Verlag Berlin Heidelberg.