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$ζ(5)$ is irrational

We present an elementary proof of the irrationality of $ζ(5)$ based upon the Dirichlet's approximation theorem and the Prime Number Theorem.

4 nodes3 linksoverview preview$ζ(5)$ is irrational
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$ζ(5)$ is irrational4 visible / 4 total nodes / 3 links
AuthorshipTopic signalTopic signalW$ζ(5)$ is irrationalpreprint / 2011AYong-Cheol KimResearcherTmath.NT5493 worksTmath.CA2494 works
PaperSignal 103 links

$ζ(5)$ is irrational

preprint / 2011

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