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Riemann Hypothesis 
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#1
Jul508, 04:23 PM

P: 2

I have a question concerning the Riemann Hypothesis, a conjecture about the distribution of zeros of the Riemannzeta function. the trivial zeros (s=2, s= 4, s=6) arent much of a concern as the NONtrivial zeros, where any real part of the nontrivial zero is = 1/2.
What i am having difficulty with is the discussion on the Critical line, (in a different forum) if anyone is seasoned with the reasoning behind the hypothesis your assistance will be greatly appreciated. *As with TRIllions other math enthusiasts, i will be attempting to unearth a proof of this hypothesis (someday ) 


#2
Jul508, 05:11 PM

P: 104

I'm having a hard time finding your question here, but I think it is how to discuss zeta on the critical line?
You can write zeta in terms of the dirichlet eta function which in turn converges for Re s>0. Dirichlet eta; http://en.wikipedia.org/wiki/Dirichlet_eta_function http://mathworld.wolfram.com/DirichletEtaFunction.html Don't know if that satisfied you at all, there are people who are much more experienced in the area than me. After all I'm just a hobby mathematician. 


#3
Jul508, 06:22 PM

P: 2

Sorry about the original message, (i was too vague ), thanks. ill use these sites.



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