Explicit formulas for Drinfeld modules and their periods
Number Theory
2016-05-12 v1
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.
Cite
@article{arxiv.1112.5378,
title = {Explicit formulas for Drinfeld modules and their periods},
author = {Ahmad El-Guindy and Matthew A. Papanikolas},
journal= {arXiv preprint arXiv:1112.5378},
year = {2016}
}
Comments
20 pages