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MathGroup Archive 2007

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Re: Zeroes of Zeta function

  • To: mathgroup at smc.vnet.net
  • Subject: [mg72937] Re: Zeroes of Zeta function
  • From: dh <dh at metrohm.ch>
  • Date: Thu, 25 Jan 2007 08:03:40 -0500 (EST)
  • References: <200701231003.FAA06815@smc.vnet.net> <ep7cjl$beo$1@smc.vnet.net>


Hi Artur,

try this quick and dirty code where we search succesive minimas and maximas:

y=.;

f=Abs[Zeta[1/2+I y]];

eps=10^-6;

y0=13;

Do[

   y0=y/.FindMinimum[f,{y,y0+eps}][[2]];

   Print["zero=",y0];

   y0=y/.FindMaximum[f,{y,y0+eps}][[2]];

   ,{10}]

Daniel



Artur 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}]

> 

> ARTUR

> 



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