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Explicit formulas for Drinfeld modules and their periods

Published 22 Dec 2011 in math.NT | (1112.5378v1)

Abstract: 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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