Riemann Hypothesis (1 Viewer)

[KeypadSDM]

Zetagrid's pretty cool. I'm up to 11.5 million zeroes already.

 

[KeypadSDM]

I'll just take a trip to Germany ... ahem...

 

[KeypadSDM]

Originally posted by buchanan
Actually, maybe we even have pi(x)=Li(x)+O(x^1/2), but that's stronger than RH and could be false even if RH is true.

Hasn't that been proven false?

And when it says for big oh of Sqrt[x]Ln[x], what constant are we meant to chuck out the front for the R.H. to be true? Because we can chuck out 10^{10^{10^{10^10¹⁰}}} and that might be true ...

 

[KeypadSDM]

So the number you've got to chuck in front of it is 1/(8pi)?

 

[KeypadSDM]

Yes, but that is included in the big oh function. It doesn't care about 'small' values of x, only the big ones.

 

[felix_js]

Riemann hypothesis proven?
http://zdnet.com.com/2100-1104_2-5229702.html?tag=zdfd.newsfeed

 

[aditya]

.... righteo then

 

[KeypadSDM]

Ghey.

 

[buchanan]

Most mathematicians believe the RH to be true. One (amongst only a few) who did not believe it was Atle Selberg. It saddens me to have to report here that he died a couple of days ago. He won the 1950 Fields Medal for his proof of the Prime Number Theorem - a more elementary one than ones previously available.

Selberg, A. "An Elementary Proof of the Prime Number Theorem." Ann. Math. 50, 305-313, 1949.