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Special theta function


Bonjour le groupe,

Given this test (performed with Mathematica 4.1):

In[1]:={Sqrt[s]EllipticTheta[3, 0, E^(-Pi s)],
 EllipticTheta[3, 0, E^(-Pi/s)]} /.  s -> Infinity
Out[1]={Infinity, EllipticTheta[3, 0, 1]}

it seems to me that 
EllipticTheta[3, 0, 1]
or at least
Limit[EllipticTheta[3, 0, q], q -> 1, Direction -> 1]
should return Infinity.
Is it the same with Mathematica 5.0 ?
---
jcp


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