Explicit formulas for Drinfeld modules and their periods Academic Article

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.

authors

• Papanikolas, Matthew

published proceedings

• JOURNAL OF NUMBER THEORY

altmetric score

• 0.25

author list (cited authors)

• El-Guindy, A., & Papanikolas, M. A.

citation count

• 10

complete list of authors

• El-Guindy, Ahmad||Papanikolas, Matthew A

publication date

• June 2013

publisher

• Elsevier  Publisher

published in

• Journal of Number Theory  Journal

keywords

• Drinfeld Modules
• Exponentials
• Logarithms
• Periods
• Supersingularity

Digital Object Identifier (DOI)

• 10.1016/j.jnt.2012.10.013

start page

• 1864

end page

• 1886

volume

• 133

issue

• 6

URL

• http://dx.doi.org/10.1016/j.jnt.2012.10.013