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February 9th, 2017, 08:31 PM   #1
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Riemann Hypothesis does not exist, himself has proved it

In fact, Riemann himself has proved the problem. Please look at https://arxiv.org/pdf/1508.02932v5.pdf
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February 11th, 2017, 09:41 PM   #2
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Interesting, expecially knowing how much he dug deep in complex analysis.
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February 12th, 2017, 04:11 PM   #3
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Originally Posted by complicatemodulus View Post
Interesting, expecially knowing how much he dug deep in complex analysis.
Although there is a great deal of research on Riemann's two papers, there are yet some content and formulas not being studied thoroughly. The most typical example is the following formula

$\displaystyle \pi^{-s/2}\Gamma(s/2)\zeta(s)=2\Re[\pi^{-s/2}\Gamma(s/2)f(s)],\Re(s)=1/2$

nobody has pointed out why Riemann gave it since 1932. This is Riemann's conclusion in his nachlass. Namely $\displaystyle N(T)=N_0(T)$
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February 12th, 2017, 09:37 PM   #4
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I'm quite sure he build all his work one this simple formula for primes:

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To be clear my proof for Riemann Hypo follow as:

Since Naturals are well ordered,

Since Powers of Numbers (Integer, Rational or Complex under the conditions are made just of Integers or Rationals parts) are well ordered too,

Primes are well ordered too since:

$z= n!/n^2$

can be taken as ordinal who stick $n$ whos:

$z\in\mathbb{N}$ in the Non Prime Set

and

$z\in\mathbb{Q-N}$ in the Prime Set

Since we know how to build Rh function and who is the first zero for the first prime and who is the first zero for the first non prime, the same for the 2th and the 3th and the n-th, and the one of the n-th+1 for both...

Riemann's 1/2 integer part of S power, follows by the transfinite law of induction
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February 13th, 2017, 05:40 PM   #5
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Lightbulb To understand Riemann's proof, we must read Riemann's manuscript.

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In fact, Riemann himself has proved the problem. Please look at https://arxiv.org/pdf/1508.02932v5.pdf
To understand Riemann's proof, we have to read the article that C.L.Siegel compiled according to Riemann's manuscript.
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February 14th, 2017, 12:50 AM   #6
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An evident trace can be found also reading:

https://en.wikipedia.org/wiki/Floor_...ling_functions

It also helps in correctly rewriting Fermat the Last...
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March 10th, 2017, 05:38 AM   #7
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Here another paper on RH:

https://www.researchgate.net/publica...ann_Hypothesis
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