PRODUCTS
Products Overview
Mathematica
Mathematica Student Edition
Mathematica Home Edition
Wolfram
CDF Player
(free download)
Computable Document Format (CDF)
web
Mathematica
grid
Mathematica
Wolfram
Workbench
Wolfram
SystemModeler
Wolfram
Finance Platform
Mathematica
Add-Ons
Wolfram|Alpha Products
SOLUTIONS
Solutions Overview
Engineering
Aerospace Engineering & Defense
Chemical Engineering
Control Systems
Electrical Engineering
Image Processing
Industrial Engineering
Materials Science
Mechanical Engineering
Operations Research
Optics
Petroleum Engineering
Biotechnology & Medicine
Bioinformatics
Medical Imaging
Finance, Statistics & Business Analysis
Actuarial Sciences
Data Analysis & Mining
Econometrics
Economics
Financial Engineering & Mathematics
Financial Risk Management
Statistics
Software Engineering & Content Delivery
Authoring & Publishing
Interface Development
Software Engineering
Web Development
Science
Astronomy
Biological Sciences
Chemistry
Environmental Sciences
Geosciences
Social & Behavioral Sciences
Design, Arts & Entertainment
Game Design, Special Effects & Generative Art
Education
STEM Education Initiative
Higher Education
Community & Technical College Education
Primary & Secondary Education
Students
Technology
Computable Document Format (CDF)
High-Performance & Parallel Computing (HPC)
See Also: Technology Guide
PURCHASE
Online Store
Other Ways to Buy
Volume & Site Licensing
Contact Sales
Software
Service
Upgrades
Training
Books
Merchandise
SUPPORT
Support Overview
Mathematica
Documentation
Knowledge Base
Learning Center
Technical Services
Community & Forums
Training
Does My Site Have a License?
Wolfram User Portal
COMPANY
About Wolfram Research
News
Events
Wolfram Blog
Partnerships
Employment Opportunities
History of
Mathematica
Stephen Wolfram's Home Page
Contact Us
OUR SITES
All Sites
Wolfram|Alpha
Demonstrations Project
MathWorld
Integrator
Wolfram Functions Site
Mathematica Journal
Wolfram Media
Wolfram
Tones
Wolfram Science
Stephen Wolfram
SEARCH MATHEMATICA 8 DOCUMENTATION
THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
SEE THE
DOCUMENTATION CENTER
FOR THE LATEST INFORMATION.
Mathematica
>
Polynomial Algebra
>
Built-in
Mathematica
Symbol
Algebraic Operations on Polynomials
Tutorials »
|
Factor
Roots
RootOfUnityQ
See Also »
|
Polynomial Algebra
More About »
Cyclotomic
Cyclotomic
[
n
,
x
]
gives the
n
cyclotomic polynomial in
.
MORE INFORMATION
The cyclotomic polynomial
of order
is defined to be
, where the product runs over integers
less than
that are relatively prime to
.
EXAMPLES
CLOSE ALL
Basic Examples
(1)
In[1]:=
Out[1]=
The roots are the irreducible 5
roots of -1:
In[2]:=
Out[2]=
Scope
(1)
Applications
(6)
Properties & Relations
(7)
Neat Examples
(2)
SEE ALSO
Factor
Roots
RootOfUnityQ
TUTORIALS
Algebraic Operations on Polynomials
RELATED LINKS
MathWorld
The Wolfram Functions Site
NKS|Online
(
A New Kind of Science
)
MORE ABOUT
Polynomial Algebra
New in 1
© 2013 Wolfram Research, Inc.
cyclotomic polynomial in 
.
EXAMPLES
Basic Examples 
Scope 