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## $\zeta(5)$ is irrational

### Abstract

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

Topics: Mathematics - Classical Analysis and ODEs, Mathematics - Number Theory, 11J81, 11M06
Year: 2011
OAI identifier: oai:arXiv.org:1105.0730
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