10753
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Table of Dirichlet Characters
Produce tables of Dirichlet characters. A Dirichlet character
modulo
is a multiplicative function that satisfies:
1.
is periodic with period
.
2.
is zero when
is not coprime to
.
3.
is an
root of unity when
is relatively prime to
.
4. There are
Dirichlet characters for a given
.
Contributed by:
Roger Germundsson
and
Charles Pooh
SNAPSHOTS
DETAILS
Reference: T. Apostol,
Introduction to Analytic Number Theory
, New York: Springer-Verlag, 1976.
RELATED LINKS
Number Theoretic Character
(
Wolfram
MathWorld
)
PERMANENT CITATION
Roger Germundsson
and
Charles Pooh
"
Table of Dirichlet Characters
"
http://demonstrations.wolfram.com/TableOfDirichletCharacters/
Wolfram Demonstrations Project
Published: March 7, 2011
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Dirichlet Characters
Roger Germundsson and Charles Pooh
Dirichlet L-Functions near the Critical Line
Roger Germundsson and Charles Pooh
Functions Related to Primes
Roger Germundsson and Charles Pooh
Resizable Number Theory Tables
Ed Pegg Jr
Repeating Continued Fractions
Ed Pegg Jr
PowerMod Is Eventually Periodic
Oleksandr Pavlyk
Discrete Number Theory Plots
Ed Pegg Jr
Wilson's Theorem in Disguise
Oleksandr Pavlyk and Brett Champion
Periodicity of Euler Numbers in Modular Arithmetic
Oleksandr Pavlyk
q-Cosine and q-Sine Functions over the Extended Complex q-Plane
Michael Trott
Related Topics
Number Theory
Version 7 Features
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+