Tensor powers of rank 1 Drinfeld modules and periods

2017/06/12 by Green, Nathan
#11G09 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1706.03854

Abstract

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.

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