Riemann Hypothesis: Question on Critical Line

[ii LeGiiT ii]

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 )

 

[Santa1]

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]

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