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arXiv 2011-12-22 DOI 10.1016/j.jnt.2012.10.013 0 views

Explicit formulas for Drinfeld modules and their periods

El-Guindy, Ahmad · Papanikolas, Matthew A.

Original · EN

We provide explicit series expansions for the exponential and logarithm functions attached to a rank r Drinfeld module that generalize well known formulas for the Carlitz exponential and logarithm. Using these results we obtain a procedure and an analytic expression for computing the periods of rank 2 Drinfeld modules and also a criterion for supersingularity.

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