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<head><title>hilbertSeries(..., Reduce => ...) -- reduce the Hilbert series</title>
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<div><h1>hilbertSeries(..., Reduce => ...) -- reduce the Hilbert series</h1>
<div class="single"><h2>Synopsis</h2>
<ul><li><div class="list"><dl class="element"><dt class="heading">Usage: </dt><dd class="value"><div><tt>hilbertSeries(..., Reduce => true)</tt></div>
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<li><div class="single">Consequences:<ul><li>the resulting rational function is reduced by cancelling factors of the numerator that occur explicitly as factors of the denominator. See also <a href="_reduce__Hilbert.html" title="reduce a Hilbert series expression">reduceHilbert</a>.</li>
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<div class="single"><h2>Description</h2>
<div><table class="examples"><tr><td><pre>i1 : R = QQ[x,y,z];</pre>
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<tr><td><pre>i2 : hilbertSeries ideal (x,y)
2
1 - 2T + T
o2 = -----------
3
(1 - T)
o2 : Expression of class Divide</pre>
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<tr><td><pre>i3 : hilbertSeries(ideal (x,y), Reduce => true)
1
o3 = -------
(1 - T)
o3 : Expression of class Divide</pre>
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<h2>Further information</h2>
<ul><li><span>Default value: <a href="_false.html" title="">false</a></span></li>
<li><span>Function: <span><a href="_hilbert__Series.html" title="compute the Hilbert series">hilbertSeries</a> -- compute the Hilbert series</span></span></li>
<li><span>Option name: <span><a href="___Reduce.html" title="name for an optional argument">Reduce</a> -- name for an optional argument</span></span></li>
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