Explicit formulas for Drinfeld modules and their periods

Ahmad El-Guindy, Matthew A. Papanikolas

Published 2011-12-22Version 1

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.