decomposeFraction(..., NoZeroC => ...) -- decompose a rational number into a/p^b(p^c-1) and force c not equal to zero

Synopsis

Usage:
L = decomposeFraction(..., NoZeroC => b)
Inputs:
- b, a Boolean value
Outputs:
- L, a list

Description

We are writing a rational number as a/(p^b(p^c-1)). If our number is a/p^b then there is no valid value of c and the function returns c = 0. Setting the option NoZeroC => true forces the third entry of the output list to be nonzero, even if that means increasing the first entry.

i1 : decomposeFraction( 3, 4/27)

o1 = {4, 3, 0}

o1 : List

i2 : decomposeFraction( 3, 4/27, NoZeroC => true )

o2 = {8, 3, 1}

o2 : List

i3 : 4/27 == 8/( 3^3 * ( 3 - 1 ) )

o3 = true

Further information

Default value: false
Function: decomposeFraction -- decompose a rational number into a/(p^b(p^c-1))
Option name: NoZeroC -- an option for decomposeFraction