On 2/6/10 2:57 PM, Dieter Kaiser wrote:
> Hello Ray,
> yes, I think we should implement this algorithm. I think it is a
> variation of an algorithm presented first in a paper of P. Borwein "An
> Efficient Algorithm for the Riemann Zeta Function". In this paper it is
> the third algorithm. It is a easier to implement then the second
> algorithm presented in the paper of Borwein.
>
> The algorithm will work for complex values too.
>
Oh, that's cool; I didn't know that.
> Do you already have an implementation using the bigfloat package?
>
No. I just used maxima for a proof-of-concept implementation because it
was pretty easy. It's not particularly efficient, but perhaps it's good
enough. I'll write up a version for the bigfloat package.
Ray