Register to reply

How would one do the following

by praharmitra
Tags: None
Share this thread:
praharmitra
#1
Nov14-12, 10:23 PM
P: 311
How would one do the following sum?

[tex]

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

[/tex]
Phys.Org News Partner Mathematics news on Phys.org
'Moral victories' might spare you from losing again
Fair cake cutting gets its own algorithm
Effort to model Facebook yields key to famous math problem (and a prize)
SteamKing
#2
Nov14-12, 11:41 PM
Emeritus
Sci Advisor
HW Helper
Thanks
PF Gold
P: 6,301
First of all, find out what epsilon is.
Simon Bridge
#3
Nov14-12, 11:53 PM
Homework
Sci Advisor
HW Helper
Thanks
Simon Bridge's Avatar
P: 12,447
How would one do the following 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.


Register to reply