Riemann's Hypothesis

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Originally Posted by wonderboy1953

"I've found very little in the area of practical application of the Hypothesis..."

A simple check by Googling would confirm that (my attitude is that if it isn't on the internet, it doesn't exist). When you say "practical application", do you mean within math or outside of it?

"...and is evidently somehow related to modern financial security systems."

That would be because of the primes.

It would help to know something of your math background to try to answer your questions.

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I am a secondary school student, so I don't have much of a math background. The replies so far have left me bewildered!

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Originally Posted by Vitruvian

I am a secondary school student, so I don't have much of a math background. The replies so far have left me bewildered!

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Well then all you should know about the Riemann Hypothesis is it states that for a particular function in the complex plane denoted , the only zeros in the strip occur when .

Quote:

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Originally Posted by wonderboy1953

"I've found very little in the area of practical application of the Hypothesis..."

A simple check by Googling would confirm that (my attitude is that if it isn't on the internet, it doesn't exist). When you say "practical application", do you mean within math or outside of it?

"...and is evidently somehow related to modern financial security systems."

That would be because of the primes.

It would help to know something of your math background to try to answer your questions.

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There really aren't many uses for the RH outside of math with the exception of cryptography perhaps. The reason is because cryptography utilizes the "randomness" of the prime numbers and proving the Riemann Hypothesis is equivalent to putting a really tight error term in the prime number theorem.

Other applications of proving RH are stated here:
Consequences of the Riemann hypothesis
Consequences of the Generalized Riemann hypothesis