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The Riemann Hypothesis and Fermat's Last Theorem

fahdaldаpy2002
Post Icon Posted: Submitted by fahdaldаpy2002 on 26 July 2009 - 8:40pm.

Joined: 2008-06-22
Posts: 29

Greetings,

I am posting to notify you all that I have found a brilliant new line of attack on the famous Riemann Hypothesis that I do believe will result in a spectacular proof. This is all my own work and in fact I've been thinking about it for a few years now (I have started working on the problem in 2002), although I have made a crucial breakthrough a short time ago. This proof is the most amazing thing I've ever thought of, extremely simple and elegant. And it works like this:

  • As is well known from the Riemann zeta function's functional equation, any point in the zeta-set of non-trivial zeros gives rise to at most three others by reflections in the critical line and real axis.
  • Now, if a certain zero is a counterexample to the Riemann Hypothesis, this gives rise to three other distinct reflected points.
  • The elliptic curve through the three other points defines an elliptic curve over the rationals. This elliptic curve is clearly not modular. Here is a diagram depicting the situation:
  • This contradicts the Tagakawa-Shigora conjecture, which states that any elliptic curve over the rationals is modular.
  • We can therefore conclude that the dimension of the zeta-set is one and thus that the Riemann Hypothesis is true.

I will gladly answer any questions you may have. The method extends to a wealth of other important problems, such as Fermat's Last Theorem, the Goldbach conjecture, n-body problem, continuum hypothesis, etc.

Thank You,
Fahd Alfred Dapy

alex35
Post Icon Posted: 4 February 2010 - 1:45am

Joined: 2009-10-14
Posts: 1

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Callan
Post Icon Posted: 4 February 2010 - 2:15am

Joined: 2008-09-30
Posts: 173

http://www.youtube.com/watch?v=lCdv4GHTyo4

cosmin
Post Icon Posted: 8 February 2010 - 4:34am

Joined: 2006-11-02
Posts: 1291

http://www.tinyurl.com/trythesenachos