On the generalized Carlitz module
Number Theory
2013-09-19 v2
Abstract
The aim of this note is to gather formal similarities between two apparently different functions; {\em Euler's function} and {\em Anderson-Thakur function} . We discuss these similarities in the framework of the {\em generalized Carlitz's module}, a common structure which can be helpful in framing the theories of both functions. We further analyze several noticeable differences while investigating the {\em exponential functions} associated to these structures.
Cite
@article{arxiv.1210.2490,
title = {On the generalized Carlitz module},
author = {Federico Pellarin},
journal= {arXiv preprint arXiv:1210.2490},
year = {2013}
}