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Re: equivalence of truth of Riemann hypothesis
Posted:
Jan 5, 2013 11:30 AM
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Op zaterdag 5 januari 2013 17:06:11 UTC+1 schreef David Bernier het volgende:
> On 01/05/2013 09:55 AM, Jean Dupont wrote:
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> > In the book "Math goes to the movies" it is stated that the truth of the Riemann hypothesis is equivalent to the following statement:
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> > $\exists C: \forall x \in \mathbb{N}_0: \left|\pi(x)-\operatorname{li}(x)\right| \leq C \sqrt{x} \log(x)$
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> > Is this correct?
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> > thanks
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> > jean
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> The movie "A Beautiful Mind" about John Nash is now on Youtube:
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> < http://www.youtube.com/watch?v=OOWT1371DRg > .
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> I think John Nash in the movie or in reality tried to make
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> head-way on the Riemann Hypothesis ...
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> David Bernier
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> P.S. I'm afraid I can't read Tex or Latex ...
just copy/paste the line
exists C: \forall x \in \mathbb{N}_0: \left|\pi(x)-\operatorname{li}(x)\right| \leq C \sqrt{x} \log(x)
in the box shown on the following web page and press render:
http://itools.subhashbose.com/educational-tools/latex-renderer-n-editor.html
>
jean
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> But, please see "error term" in Prime Number Theorem, here:
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> primepages, 1901 von Koch result:
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> < http://primes.utm.edu/notes/rh.html >
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> I trust PrimePages. Also, Schoenfeld(1976) explicit bound:
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> < http://en.wikipedia.org/wiki/Riemann_hypothesis > .
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