# hilbertSeries(...,Reduce=>...) -- reduce the Hilbert series

## Synopsis

• Usage:
hilbertSeries(..., Reduce => true)
• Consequences:
• the resulting rational function is reduced by cancelling factors of the numerator that occur explicitly as factors of the denominator. See also reduceHilbert.

## Description

 i1 : R = QQ[x,y,z]; i2 : hilbertSeries ideal (x,y) 2 1 - 2T + T o2 = ----------- 3 (1 - T) o2 : Expression of class Divide i3 : hilbertSeries(ideal (x,y), Reduce => true) 1 o3 = ------- (1 - T) o3 : Expression of class Divide