Re: Infinite sum of gaussians

*To*: mathgroup at smc.vnet.net*Subject*: [mg56032] Re: Infinite sum of gaussians*From*: "Valeri Astanoff" <astanoff at yahoo.fr>*Date*: Thu, 14 Apr 2005 08:54:24 -0400 (EDT)*References*: <200504120926.FAA27573@smc.vnet.net><d3ibr6$9un$1@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

Andrzej, I'm not a mathematician, just an engineer, and what puzzles me is this : In[1]:= { Sum[Exp[-(z-k)^2/2], {k, -Infinity, Infinity}], Sqrt[2*Pi]+ Cos[2*Pi*z]*(EllipticTheta[3,0,1/Sqrt[E]]-Sqrt[2*Pi])} /. z -> 1/2 // N[#,35]& Out[1]= {2.5066282612190954600008515157581306, 2.5066282612190954600008515157581301} If I trust mathematica, this should induce to think the equality is false. Anyway, thanks for the time you spent. Regards, v.a.

**Follow-Ups**:**Re: Re: Infinite sum of gaussians***From:*Daniel Lichtblau <danl@wolfram.com>

**References**:**Infinite sum of gaussians***From:*"Valeri Astanoff" <astanoff@yahoo.fr>