NumberTheory
IsCyclotomicPolynomial
test whether a polynomial is cyclotomic
Calling Sequence
Parameters
Description
Examples
Compatibility
IsCyclotomicPolynomial(p, x)
IsCyclotomicPolynomial(p, x, output_opt)
p
-
univariate polynomial in x
x
name
output_opt
(optional) an equation of the form output = result, output = order, output = [result, order], or output = [order, result]; the default is output = result
The IsCyclotomicPolynomial function determines whether p is a cyclotomic polynomial, and, optionally, the order of p if p is cyclotomic.
The IsCyclotomicPolynomial(p, x) calling sequence returns true if p(x) is a cyclotomic polynomial, and false otherwise.
Use output_opt to specify whether to return the result, the order, or both:
output = result: Returns true if p is cyclotomic and false otherwise. This is the default behavior for IsCyclotomicPolynomial.
output = order: Returns the order of p as a cyclotomic polynomial if p is cyclotomic. Returns FAIL otherwise.
output = [result, order] (or output = [order, result]): Returns an expression sequence with result and then order (or with order and then result).
If p is the nth cyclotomic polynomial, then p is said to be the order of n.
By default
The NumberTheory[IsCyclotomicPolynomial] command was introduced in Maple 2016.
For more information on Maple 2016 changes, see Updates in Maple 2016.
See Also
Names
NumberTheory[CyclotomicPolynomial]
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