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fixdiv

compute the fixed divisor of a polynomial

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

fixdiv(a, x)

Parameters

a, x

-

a is polynomial in x over the integers

Description

• 

Compute the fixed divisor of ax in Zx.  The fixed divisor is the largest integer that divides ak for all k in Z.  For primitive polynomials, the fixed divisor is no greater than n! where n=degreea,x.

• 

The probability that the fixed divisor is greater than one for random polynomials of degree n is approximately 0.278 as n goes to infinity.

Examples

fixdivxx+1x+2x+3,x

24

(1)

See Also

polynom

 


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