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April 7th, 2016, 03:05 PM   #1
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Finding a solution for Riemann's hypothesis

Hello to everyone. During this month I've been trying to proof the Riemann hypothesis but, unsurprisingly, I haven't proof that it is correct or wrong. I want to discuss some of my ideas and some of the mathematics that I've been with someone. If anyone is interested PM me.
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April 7th, 2016, 07:36 PM   #2
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I'm glad you said unsurprisingly . Good luck on the $1m!
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April 8th, 2016, 12:36 AM   #3
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ok ive been working on these kinds of problems for more than a month and so why don't you just go ahead and post your ideas, then ill tell you what I think.
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April 30th, 2016, 10:52 AM   #4
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Riemann Ideas

If no one else will start, I will. Caveat: I'm not a mathematician and I really can't read formulas, but I feel like I grasp the concepts. So I may need translations if you reply in formulas.

First point of interest: There is a prime quadratic sieve that is basically a visual representation of the Sieve of Eratosthenes (see graph at Quadratic Sieve -- from Wolfram MathWorld)

Without a formula I don't know how to express it, but a look at that graph indicates that there is a strict mathematical order to the primes. They are the whole numbers on the number line that are not intersected by line segments connecting whole numbers 2 and above on the upper and lower bounds of the parabola.

To me that eliminates any idea of random primes, and it isn't because I have seen a graph that extends beyond 1000's of primes, it just seems that if it were not true, then we have to admit that the use of graphs is an illegitimate representation of mathematical ideas, sorry Mr. Descartes. (If I am making a false assumption about mathematics here, please enlighten me.}

Second point of interest: I have heard it stated that a Fourier transform of the values of the points on the 1/2 line where the non-trivial zeroes are (i.e., 14.13..., 21.02..., 25.01..., etc., see Riemann Zeta Function Zeros -- from Wolfram MathWorld) will give the primes.

If this is true, then a Fourier transform of the primes will give values of the non-trivial zeroes on the 1/2 line (Fourier Transform -- from Wolfram MathWorld)

So, these 2 points, to me, represent 2 legs of a geometric proof that requires 1 more leg, connecting the sieve to the transforms.

Anyone able to speak to this?
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April 30th, 2016, 04:10 PM   #5
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Correction to above

Correction, the transform and the sieve are connected, as they both contain the prime numbers. The third leg is to prove the zeroes always correlate with the primes.
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