Daniel C. Mayer's
Web Site
Welcome to the realm of Structures and Orders, of Inspiration and Motivation!
The aim of this web site is
-
(*)
to communicate the fascinating results
of my current mathematical research
into the
Computational Theory of Algebraic Numbers
(the zeros of irreducible polynomials with rational integer coefficients)
within the most recent presentation
Centennial 2004
and
to integrate the cognitive areas
in a universal art project
Mysterion 2003
.
For joint results, see
Research 2002
.
More detailed,
we shall be concerned with the
Investigation of
Cubic Number Fields
(the structures that are generated by polynomials of the 3rd degree)
and of generalizations of their normal fields (Galois hulls) with a
Dihedral
or
Metacyclic Group
as automorphism group.
-
(**)
to grant public access
to my
extensive scientific
Databases
giving detailed arithmetical data
(discriminant, conductor, units, regulator, period length,
order and structure of the class group, ambiguous principal ideals,
lattice minima, principalization)
for all kinds of Cubic Number Fields.
This information has been obtained with the aid of
very elegant and sophisticated algorithms.
If you need explanations for the concepts and symbols used in the
present pages, you will certainly get advice by the service
Abstract Algebra Online
offered by the Northern Illinois University.
Further, I emphasize -
Math resources
- a directory of Math related websites, -
DirPedia.com
- combining a dictionary, an encyclopedia and a web directory, -
frety.net
- a web directory with homepage thumbnails, and -
YoY-search
- a web portal with ten types of search.
Do not hesitate to send
questions, impressions, comments, ideas,
and constructive criticism
concerning the various topics of my web site
immediately to my e-mail address
contact@algebra.at
In the frame on the
left
you can decide which
language
is convenient for you.
Please select a
topic
of your interest