Services & ResourcesWolfram ForumsMathGroup Archive

[Date Index] [Thread Index] [Author Index]

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

> 

• References:
  • Re: Running Galois.m on Version 2.2.2
    • From: "Paul" <CarolP@rockford.com>