How would one do the following

praharmitra

How would one do the following sum?

[tex]

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

[/tex]

SteamKing

First of all, find out what epsilon is.

Simon Bridge

...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.