Jacobi forms and certain special values of Dirichlet series associated to modular form.
Jacobi-Eisenstein series and -adic interpolation of symmetric squares of cusp forms
The aim of this paper is to construct and calculate generating functions connected with special values of symmetric squares of modular forms. The Main Theorem establishes these generating functions to be Jacobi-Eisenstein series i.e. Eisenstein series among Jacobi forms. A theorem on -adic interpolation of the special values of the symmetric square of a -ordinary modular form is proved as a corollary of our Main Theorem.