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Re: Infinite sum of gaussians


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.


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