Services & Resources / Wolfram Forums
MathGroup Archive
*Archive Index
*Ask about this page
*Print this page
*Give us feedback
*Sign up for the Wolfram Insider

MathGroup Archive 2005

[Date Index] [Thread Index] [Author Index]

Search the Archive

Moments of gaussian sums?

  • To: mathgroup at
  • Subject: [mg63436] Moments of gaussian sums?
  • From: AES <siegman at>
  • Date: Sat, 31 Dec 2005 06:40:34 -0500 (EST)
  • Organization: Stanford University
  • Sender: owner-wri-mathgroup at

Pardon me if this is mathematics and not Mathematica -- but is there a 
closed form for

   Sum[n^2 Exp[ -a n^2], {n, -Infinity, Infinity}]


   Sum[n^2 k(n^2), {n, -Infinity, Infinity}]

like the EllipticTheta result with the n^2 left out?

(And just out of curiosity, how does Sum know to step over the integers 
in sums like these?  Is Infinity an Integer?)

  • Prev by Date: Declaring real variables using Element
  • Next by Date: timer
  • Previous by thread: Declaring real variables using Element
  • Next by thread: timer