Infinite sum of gaussians

*To*: mathgroup at smc.vnet.net*Subject*: [mg55955] Infinite sum of gaussians*From*: "Valeri Astanoff" <astanoff at yahoo.fr>*Date*: Tue, 12 Apr 2005 05:26:04 -0400 (EDT)*Sender*: owner-wri-mathgroup at wolfram.com

Dear group, Could anyone prove or disprove this equality, at least for z being real : 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]) ? Valeri

**Follow-Ups**:**Re: Infinite sum of gaussians***From:*Andrzej Kozlowski <akoz@mimuw.edu.pl>