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.

中文翻译：

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等级 1 Drinfeld 模块和周期的张量幂

我们研究 1 阶符号归一化 Drinfeld A 模的张量幂，其中A是有限域上椭圆曲线的坐标环。使用的理论一-motives，我们找到了明确的公式一这些模块的肌动。然后，通过发展向量值安德森生成函数的理论，我们给出了相关指数函数的周期格的公式。