Did Selberg proved RH ?

  • #1
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Main Question or Discussion Point

Did Selberg proved RH ??

the idea is that if the Selberg zeta function related to the length of Geodesics becomes

[tex] Z(s+1)= \zeta (s) Z(s) [/tex]

and the Z(s) has all the roots with real part 1/2 would imply that RH is true ?? , sorry i am not an expert but found it curious since Riemann-Weyll trace is almost equal to Selberg trace and it is supposed that using his Selberg Trace we can prove that all the zeros lie on the line Re(s=1/2) , by the way the fucntion multiplying Z(s) is the usual Riemann Zeta function. providing the surface of the laplacian has geodesic with lenght log(p_n) for every prime
 

Answers and Replies

  • #2
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We would know if RH was proven, so the answer is 'No'. RH is so prominent, that it would spread like a wildfire.

I've seen a couple of ideas how to prove and even claims of proofs in the recent years. Some of them tried to apply physical ideas, a technique which I very much doubt will ever be successful.
 

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