Cyclotomic Units - Relations and Computations

This page contains resources about relations between cyclotomic units.

Slides

Informal Introduction
  • Visualization of relations between cyclotomic units
  • Construction of a basis of cyclotomic units
  • An Algorithm to Calculate a Basis Representation for Cyclotomic Units and Cyclotomic Numbers

    Links to Marc Conrad's papers related to cyclotomic units:

    Talks

    Diploma and PhD thesis (these links are in German)

    Examples of bases of cyclotomic units and basis representations of generators

    Uses this algorithm; See below for an interactive form.

    Calculate a Basis of the Cyclotomic Units

    Implementation of: An Algorithm to Calculate a Basis Representation for Cyclotomic Units and Cyclotomic Numbers. The code has been implemented in php. Source code available on request.

    Choose a number: To keep server load low this interface is restricted to n < 600. Please contact me if you need the algorithm for larger n.
    I want to know: a basis ; a table ; a list ; methods (leave all boxes checked for small values)

    Relative cyclotomic units only: ;

    External Links

    (including links citing some of this above; please notify me to include your work here)


    Olive Tree Icon © by: Marc Conrad, 2004-2016. If you want me to come to your organisation and talk about cyclotomic units please contact me.
    The material on this page is presented "as is". There is no warranty implied by presenting this stuff.
    Feel free to use and modify the material for your own teaching. When doing so please link to this web site (http://perisic.com/cyclotomic). In acadmic publications cite this page as: Conrad, Marc (2016) Cyclotomic Units - Relations and Computations (online), available at: http://perisic.com/cyclotomic.
    The webspace for this project is kindly provided by the Perisic Guesthouse (www.perisic.com).