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

Returns the value of the non-holomorphic Eisensteinseries.

<p><p>

<h3>
Syntax:
</h3>
<pre>c := EisensteinSeries(tau,s,a1,a2,q,N);</pre>

<p>

<table>
<tr>
<td>complex</td>
<td><pre>  tau  </pre></td>
<td></td>
</tr>
<tr>
<td>real</td>
<td><pre>  s  </pre></td>
<td></td>
</tr>
<tr>
<td>integer</td>
<td><pre>  a1  </pre></td>
<td></td>
</tr>
<tr>
<td>integer</td>
<td><pre>  a2  </pre></td>
<td></td>
</tr>
<tr>
<td>integer</td>
<td><pre>  q  </pre></td>
<td></td>
</tr>
<tr>
<td>positive integer</td>
<td><pre>  N  </pre></td>
<td></td>
</tr>
</table>

<p>


<h3>
Description:
</h3>
Given E(\tau,s,\a_1,a_2,q):=\sum\limits_{n \equiv a_1 \mod q,
m \equiv a_2 \mod q} |n \tau + m|^{s} for s \in C
and Re(s)>1. This function has
a meromorphic continuation to C. We use the Fourier-series-
expansion to calculate this function. Maass.

<p><p>

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

<pre>

kash> c := EisensteinSeries(Comp(2.4,3.1),0.4,2,3,6,5);
> -0.0464001568398209806672836216520773803072859195067551 + 1.016212292896410126\
673369727459856258569024111299e-52*i

</pre>

<p>


<hr>

<p>
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