MathGroup Archive 2012

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

Search the Archive

Theta function integration bug

  • To: mathgroup at smc.vnet.net
  • Subject: [mg126849] Theta function integration bug
  • From: Sebastian Meznaric <meznaric at gmail.com>
  • Date: Wed, 13 Jun 2012 04:55:55 -0400 (EDT)
  • Delivered-to: l-mathgroup@mail-archive0.wolfram.com

The bug can be found in the following analytic integral:
Integrate[
 EllipticTheta[3, \[Phi], \[Alpha]] Exp[I \[Phi]], {\[Phi], 0, 
  2 \[Pi]}]

Mathematica evaluates the integral to 0, which is not correct, which can be seen considering that for small value of alpha, the elliptic theta is close to the delta function. Numerical integration also confirms that this integral is non-zero. 



  • Prev by Date: FrameLabel and Style
  • Next by Date: ToString Awkwardness
  • Previous by thread: Re: FrameLabel and Style
  • Next by thread: Re: Theta function integration bug