Igor Schein on Wed, 31 Dec 2003 03:57:43 +0100


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Re: Zeta function bug? 

On Wed, Dec 31, 2003 at 01:27:16PM +1100, Andrew John Walker wrote:
> 
> Thanks very much for the recent update, zeta() seems
> to be a lot faster now. I'd like to ask someone to check
> one value which may be producing a bad evaluation.
> 
> Under pari Version 2.0.17 (beta)
> ? zeta(4.45+292532.0*I)
> %4 = 0.9628325946986762532107312785 - 0.007964269348872060270684500688*I
> 
> Under pari Version 2.2.7 (alpha)
> (13:13) gp > zeta(4.45+292532.0*I)
> %77 = -1.519052693065775291998804237 E84 + 3.820179262621090164984728018
> E84*I

Mathematica 4.0 for IBM RISC System/6000
Copyright 1988-1999 Wolfram Research, Inc.
 -- Motif graphics initialized --

In[1]:= Zeta[4.45+292532.0*I]

Out[1]= 0.962833 - 0.00796427 I

Ooops...

Igor