Explicit formulas for Drinfeld modules and their periods

Details Explicit formulas for Drinfeld modules and their periods Explicit formulas for Drinfeld modules and their periods

2011-12-22

arxiv.org/abs/1112.5378v1

Mathematics

Number Theory

20 pages

Scientific paper

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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