Explicit formulas for Drinfeld modules and their periods Academic Article uri icon

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. © 2013 Elsevier Inc.

altmetric score

  • 0.25

author list (cited authors)

  • El-Guindy, A., & Papanikolas, M. A.

citation count

  • 7

publication date

  • June 2013