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#1 2011-08-19 23:20:39
- gAr
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Riemann zeta function and Harmonic number
A result due to Euler
Hence, we have
etc...
"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense" - Buddha?
"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
#2 2011-08-20 00:25:39
- bobbym
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Re: Riemann zeta function and Harmonic number
Hello gAr;
Very nice!
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#3 2011-08-20 00:40:18
- gAr
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Re: Riemann zeta function and Harmonic number
Hi bobbym,
Yes!
Couldn't find a proof though.
"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense" - Buddha?
"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
#4 2011-08-20 01:04:36
- bobbym
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Re: Riemann zeta function and Harmonic number
Hi gAr;
Here is some mind boggling stuff that uses the hyperharmonic numbers. The harmonic number is a subset of them.
http://www.inf.unideb.hu/valseg/dolgozo … rhsums.pdf
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#5 2011-08-20 01:19:07
- gAr
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Re: Riemann zeta function and Harmonic number
Hi bobbym,
That's awesome stuff!
It cited a reference which has the idea to prove the identity: http://algo.inria.fr/flajolet/Publications/FlSa98.pdf
Need time to understand, if I'm able to!
Thanks.
"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense" - Buddha?
"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
#6 2011-08-20 02:38:34
- bobbym
- Administrator
Online
Re: Riemann zeta function and Harmonic number
Hi gAr;
Your welcome!
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.