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April 8th, 2009, 05:45 AM   #1
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The Riemann Hypothesis and what it say

I had read a little bit of the current news and such regarding this hypothesis a few years ago and got kind of confuse. Like they are checking with computer and such. By this, I think the current professional researcher (mathematician as well) are trying to prove the puesdo Riemann Hypothesis and not the Riemann Hypothesis itself. So that what I guess that's what they're doing.

The Riemann Hypothesis: (roughtly) all the nontrivial solutions to the Riemann Zeta "function" lies on the horizontal bisection of the concerned strip.

The puesdo Riemann Hypothesis: (roughtly) same statement with "in restospect to the identity operator" inserted.

Basically, I thinks it is something like this: what is a complex power, say, 4^(i)? It is an imaginary function as it repersentable as "let 4^(i) := A" then in set form we know that the set of order pair { (b, b^(i*logb(4)) : b is real} is a subcollection of the "set-like" A in that sense.
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April 15th, 2009, 07:54 AM   #2
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Re: The Riemann Hypothesis and what it say

Quote:
Originally Posted by MyNameIsVu
I had read a little bit of the current news and such regarding this hypothesis a few years ago and got kind of confuse. Like they are checking with computer and such. By this, I think the current professional researcher (mathematician as well) are trying to prove the puesdo Riemann Hypothesis and not the Riemann Hypothesis itself. So that what I guess that's what they're doing.
Google has exactly zero hits for "pseudo Riemann hypothesis", and the only hit for "puesdo Riemann Hypothesis" is this page. I've never heard of it. I don't think this is what researchers are looking at.

Quote:
Originally Posted by MyNameIsVu
Basically, I thinks it is something like this: what is a complex power, say, 4^(i)? It is an imaginary function as it repersentable as "let 4^(i) := A" then in set form we know that the set of order pair { (b, b^(i*logb(4)) : b is real} is a subcollection of the "set-like" A in that sense.
4^i = e^(i log 4) = cos log 4 + i sin log 4 ? 0.183456975 + 0.983027740i
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April 16th, 2009, 07:51 AM   #3
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Re: The Riemann Hypothesis and what it say

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Originally Posted by CRGreathouse
Google has exactly zero hits for "pseudo Riemann hypothesis", and the only hit for "puesdo Riemann Hypothesis" is this page.
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