Special theta function

*To*: mathgroup at smc.vnet.net*Subject*: [mg44718] Special theta function*From*: poujadej at yahoo.fr (Jean-Claude Poujade)*Date*: Sat, 22 Nov 2003 02:17:13 -0500 (EST)*Sender*: owner-wri-mathgroup at wolfram.com

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