Tensor powers of rank 1 Drinfeld modules and periods.

We study tensor powers of rank 1 sign-normalized Drinfeld A -modules, where A is the coordinate ring of an elliptic curve over a finite field. Using the theory of A -motives, we find explicit formulas for the A -action of these modules. Then, by developing the theory of vector-valued Anderson generating functions, we give formulas for the period lattice of the associated exponential function. [ABSTRACT FROM AUTHOR]