Karim Belabas on Sun, 07 Jun 2009 20:22:48 +0200 |
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Re: Jacobi sine theta function ? |
* Olivier Ramare [2009-06-07 17:30]: > can you tell me what is the "Jacobi sine theta function" ? > Is is what is often denoted by theta_1? > I'm interested in the usual theta(ix) = sum_{n\in Z} e^{-n^2 x} In current svn, the help message is probably more helpful than what you currently have : (20:19) gp > ??theta theta(q,z): Jacobi sine theta-function theta_1(z, q) = 2q^{1/4} sum_{n >= 0} (-1)^n q^{n(n+1)} sin((2n+1)z). K.B. -- Karim Belabas, IMB (UMR 5251) Tel: (+33) (0)5 40 00 26 17 Universite Bordeaux 1 Fax: (+33) (0)5 40 00 69 50 351, cours de la Liberation http://www.math.u-bordeaux.fr/~belabas/ F-33405 Talence (France) http://pari.math.u-bordeaux.fr/ [PARI/GP] `