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Riemann Hypothesis

by ii LeGiiT ii
Tags: hypothesis, riemann
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ii LeGiiT ii
#1
Jul5-08, 04:23 PM
P: 2
I have a question concerning the Riemann Hypothesis, a conjecture about the distribution of zeros of the Riemann-zeta function. the trivial zeros (s=-2, s= -4, s=-6) arent much of a concern as the NON-trivial zeros, where any real part of the non-trivial 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 )
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Santa1
#2
Jul5-08, 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.
ii LeGiiT ii
#3
Jul5-08, 06:22 PM
P: 2
Sorry about the original message, (i was too vague ), thanks. ill use these sites.


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