Re: precision in zetak

[Bill Allombert <allomber@math.u-bordeaux.fr>]

On Mon, Apr 17, 2006 at 04:47:38PM +0200, Pierre.Charollois@math.u-bordeaux1.fr wrote:
> Dear Pari users,
> 
> I found, like other people before, the following trouble with the zetak
> command :
> 
> it works properly with low precision, replying the right rational special
> value :
> 1/30 in my case.
> But when I asked for more digits, the answer turns out to be
> completely wrong.
> 
> The good thing is that low precision is enough to recognize the rational
> appearing.
> But it took me a while to fix  this problem
>  in my whole long and high precision  routine using this command.
> 
> As I understood from the mailing list (dev), there is no medication for this
> bug yet.

Hello Pierre,
This bug is recorded as bug #368 in our bug tracking system
(<http://pari.math.u-bordeaux.fr/Bugs>)

There is no fix available, however my understanding is that there are 
far better algorithms to compute special values of Dedekind zeta
functions.

Cheers,
Bill.