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<p>&nbsp;<p>
<hr noshade size="5">
<h2><a name="AlffEltResiduum"></a>
AlffEltResiduum
</h2>

Computes the residuum of an algebraic function.

<p><p>

<h3>
Syntax:
</h3>
<pre>r := AlffEltResiduum(P, t, a);</pre>

<p>

<table>
<tr>
<td>field element</td>
<td><pre>  r  </pre></td>
<td>the residuum of a at P for t</td>
</tr>
<tr>
<td>alff place </td>
<td><pre>  P  </pre></td>
<td></td>
</tr>
<tr>
<td>alff element</td>
<td><pre>  t  </pre></td>
<td>a local paramter at P</td>
</tr>
<tr>
<td>alff element</td>
<td><pre>  a  </pre></td>
<td>an algebraic function</td>
</tr>
</table>

<p>


See also:&nbsp;&nbsp;<a href="kashref.html#AlffPlacePrimeElt">AlffPlacePrimeElt</a>, <a href="kashref.html#AlffResidueField">AlffResidueField</a>, <a href="kashref.html#AlffEltEval">AlffEltEval</a>, <a href="kashref.html#AlffEltLift">AlffEltLift</a>, <a href="kashref.html#AlffEltValuation">AlffEltValuation</a>, <a href="kashref.html#AlffDiffResiduum">AlffDiffResiduum</a>

<p>

<h3>
Description:
</h3>
Let F/k be an algebraic function field and P be a place
of F/k. It is currently required that \deg(P) = 1 holds.
For a local parameter t \in F at P this function computes
the residuum of an algebraic function a \in F.

<p><p>

<p>
<hr>
<p>
<h3>
Example:
</h3>

<pre>

</pre>

<p>


<hr>

<p>
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