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## [Help-gsl] Gram series

**From**: |
T.H |

**Subject**: |
[Help-gsl] Gram series |

**Date**: |
Mon, 16 Feb 2009 17:18:03 +0000 |

Hi there.
This is involving the the non-trivial zeroes of the Riemann zeta function
and the Gram series. I am trying to compute an approximation of the prime
counting function using the gram series:
See here for details -
http://www.secamlocal.ex.ac.uk/people/staff/mrwatkin/zeta/encoding1.htm
So, this is what I want to do - http://mathbin.net/5767
Now, I plan on getting my C program to calculate the numbers for this, and
then getting gnuplot to plot it. However, my C program is not working as it
should. Of course, I cannot sum to infinity, so I have chopped it down to
100. I think this will be sufficient. I didn't want to bloat the message
with my program so I uploaded it to pastebin - http://pastebin.com/m7861d575
.
Basically, for those who have a good grasp of this, R_n(x) --> pi(x) as n-->
inf, so this program is trying to obtain pretty good estimates for different
values of n. Now, my program isn't working, and I am not sure why. I
cannot seem to spot what I have done wrong.
Sorry if this is an inappropriate place to post this.
Thanks,
Tom

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**[Help-gsl] Gram series**,
*T.H* **<=**