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 April 8th, 2009, 06:45 AM #1 Senior Member   Joined: Apr 2009 From: Mesa, Arizona Posts: 161 Thanks: 0 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.
April 15th, 2009, 08:54 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

April 16th, 2009, 08:51 AM   #3
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Re: The Riemann Hypothesis and what it say

Quote:
 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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