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Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: using cumulative eulerproduct as an approximation for finite harmonic series
Replies: 4   Last Post: Jan 20, 2012 7:28 AM

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Jean Dupont

Posts: 7
Registered: 1/5/12
using cumulative eulerproduct as an approximation for finite harmonic series
Posted: Jan 6, 2012 8:35 AM
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I was wondering whether it is possible to use the cumulative
eulerproduct \prod_{p} (1-p^{-s})^{-1} replacing "for all p" with "a
function for a limited number of p's" to approximate \sum_{n=1}^{k}
\frac{1}{n} for a finite value of k

regards,
Jean

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