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Re: Riemann zeta function in Forth

From mhx@iae.nl
Newsgroups comp.lang.forth
Subject Re: Riemann zeta function in Forth
Date 2012-04-30 07:25 -0700
Organization http://groups.google.com
Message-ID <23588120.127.1335795911306.JavaMail.geo-discussion-forums@vbfg3> (permalink)
References <c81633a8-c351-4497-853d-62cb7d0c9f77@f17g2000yqj.googlegroups.com> <23741374.234.1335716291651.JavaMail.geo-discussion-forums@vbez18> <10309024.425.1335725354962.JavaMail.geo-discussion-forums@vbmi19> <73d31370-2292-4a41-b1c3-70563ddf8660@e42g2000yqa.googlegroups.com> <27338109.184.1335768456249.JavaMail.geo-discussion-forums@vbqq1>

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On Monday, April 30, 2012 8:47:36 AM UTC+2, m...@iae.nl wrote:
[..]
Please remove the lines 
        z#x 0+0i         Z#=  IF  -0.5+0i  EXIT  ENDIF 
        z#x Z#REAL F#1.0 F#<= IF  NaN+NaNi EXIT  ENDIF 
from ZZETA (and ZETA) -- they are unnecessary. The continuation
works everywhere but the accuracy decreases outside of the 
recommended domain. I have now implemented P.Borwein's Algorithm 3, 
but it is very much slower as it needs a few hundred terms for 60 
significant digits.

ZZETA matches Mathematica for the negative real axis and some
selected poles with Re(s) < 1.

-marcel

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Thread

Riemann zeta function in Forth Krishna Myneni <krishna.myneni@ccreweb.org> - 2012-04-28 07:48 -0700
  Re: Riemann zeta function in Forth mhx@iae.nl - 2012-04-29 09:18 -0700
    Re: Riemann zeta function in Forth mhx@iae.nl - 2012-04-29 11:49 -0700
      Re: Riemann zeta function in Forth Krishna Myneni <krishna.myneni@ccreweb.org> - 2012-04-29 17:08 -0700
        Re: Riemann zeta function in Forth mhx@iae.nl - 2012-04-29 23:47 -0700
          Re: Riemann zeta function in Forth Krishna Myneni <krishna.myneni@ccreweb.org> - 2012-04-30 04:17 -0700
          Re: Riemann zeta function in Forth mhx@iae.nl - 2012-04-30 07:25 -0700
            Re: Riemann zeta function in Forth "A. K." <akk@nospam.org> - 2012-04-30 16:59 +0200
              Re: Riemann zeta function in Forth mhx@iae.nl - 2012-04-30 09:33 -0700
                Re: Riemann zeta function in Forth Krishna Myneni <krishna.myneni@ccreweb.org> - 2012-04-30 15:21 -0700
                Re: Riemann zeta function in Forth Andrew Haley <andrew29@littlepinkcloud.invalid> - 2012-05-01 02:53 -0500
                Re: Riemann zeta function in Forth "Elizabeth D. Rather" <erather@forth.com> - 2012-05-01 08:37 -1000
          Re: Riemann zeta function in Forth Krishna Myneni <krishna.myneni@ccreweb.org> - 2012-05-02 07:06 -0700
            Re: Riemann zeta function in Forth Hans Bezemer <the.beez.speaks@gmail.com> - 2012-05-03 17:43 +0200
              Re: Riemann zeta function in Forth Krishna Myneni <krishna.myneni@ccreweb.org> - 2012-05-03 19:33 -0700
                Re: Riemann zeta function in Forth The Beez <the.beez.speaks@gmail.com> - 2012-05-04 01:39 -0700
                Re: Riemann zeta function in Forth Krishna Myneni <krishna.myneni@ccreweb.org> - 2012-05-04 15:26 -0700
                Re: Riemann zeta function in Forth The Beez <the.beez.speaks@gmail.com> - 2012-05-05 02:55 -0700

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