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How would one do the following

  1. Nov 14, 2012 #1
    How would one do the following sum?

    [tex]

    \sum\limits_{n=1}^\infty n e^{- \epsilon~n^2}

    [/tex]
     
  2. jcsd
  3. Nov 14, 2012 #2

    SteamKing

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    Re: Sum

    First of all, find out what epsilon is.
     
  4. Nov 14, 2012 #3

    Simon Bridge

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    Re: Sum

    ...carefully. What have you tried?

    note $$\frac{d}{dn}e^{-\epsilon n^2}=-2\epsilon ne^{-\epsilon n^2}$$ ... may or may not be helpful.
     
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