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Topic: Using Excel to play with the Riemann zeta function
Replies: 7   Last Post: Sep 21, 2007 3:51 AM

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Bill Daly

Posts: 69
Registered: 12/8/04
Re: Using Excel to play with the Riemann zeta function
Posted: Sep 20, 2007 5:14 PM
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<> wrote:
> Sigma (x=2 to x=500),

The real part of each term in your sum is x^-0.5, thus for the first
omitted term it is 1/sqrt(501), which is greater than 1/23, so you
shouldn't expect much in the way of convergence. To get anything close
to 0, you'd probably need an upper limit of 1000000 or so, which is
why this method isn't practical for calculating values of zeta near
the critical line. The Euler-MacLaurin expansion converges much faster.

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