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
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