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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.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#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.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#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.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.