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MathGroup Archive 2007

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Re: Zeroes of Zeta function

  • To: mathgroup at smc.vnet.net
  • Subject: [mg72967] Re: Zeroes of Zeta function
  • From: Paul Abbott <paul at physics.uwa.edu.au>
  • Date: Fri, 26 Jan 2007 07:54:45 -0500 (EST)
  • Organization: The University of Western Australia
  • References: <200701231003.FAA06815@smc.vnet.net> <ep7cjl$beo$1@smc.vnet.net>

In article <ep7cjl$beo$1 at smc.vnet.net>, Artur <grafix at csl.pl> wrote:

> Who know how write procedure to finding successive zeroes of Riemann Zeta  
> function.
> 
> See zeros on the Plot:
> 
> Plot[Abs[Zeta[1/2+I y]],{y,0,30}]

Lookup RiemannSiegelZ. In particular, 

  Plot[RiemannSiegelZ[y], {y, 0, 30}]

Also, have a look at the packages,

  << NumericalMath`IntervalRoots`

  << NumberTheory`Ramanujan`

the MathWorld entry,

  http://mathworld.wolfram.com/RiemannZetaFunctionZeros.html

and the WRI Zeta poster,

  http://library.wolfram.com/infocenter/Articles/1469/

Cheers,
Paul

_______________________________________________________________________
Paul Abbott                                      Phone:  61 8 6488 2734
School of Physics, M013                            Fax: +61 8 6488 1014
The University of Western Australia         (CRICOS Provider No 00126G)    
AUSTRALIA                               http://physics.uwa.edu.au/~paul


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