$ζ(5)$ is irrational

Details $ζ(5)$ is irrational $ζ(5)$ is irrational

2011-05-04

arxiv.org/abs/1105.0730v2

Mathematics

Classical Analysis and ODEs

Scientific paper

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

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