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Anonymous
The Riemann Zeta function 2017-07-28 04:50:50 Post No. 9068588
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The Riemann Zeta function 2017-07-28 04:50:50 Post No. 9068588
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Hello /sci/,
I just discovered the following rather interesting result:
[math]\sum\limits_{n=2}^\infty \zeta(n) - 1 = 1[/math]
Perhaps it has already been published somewhere but I came across it myself. Anyone know of any possible uses for it?
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Thanks a lot looser you just got cucked
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>>9068608
What? Why? Am I wrong?
Numerical verification to the first few terms:
http://www.wolframalpha.com/input/?i=Sum%5BZeta%5Bx%5D-1,%7Bx,2,10%7D%5D
Also I don't see what the big deal is, the RH is concerned with 0<Re(x)<1, right?
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neato
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Also to prove this you just sum up the geometric series created by summing the Zeta function this way.
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On the off chance that you're not just reposting shit you found on Wikipedia, this is called the "representation of unity". See section 4 of https://cr.yp.to/bib/2000/borwein.pdf
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>>9068655
Yeap, I look up things online, pretend I discovered them and post them pretending to be smart. That's just what I do.
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That's a pretty neat result anon. You could be a good influence on the new /mg/ thread >>9068858
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>>9068588
I got a related result...
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