Introduction of an Elementary Method to Express $ζ(2n+1)$ in Terms of $ζ(2k)$ with $k\geq 1$

Details Introduction of an Elementary Method to Express $ζ(2n+1)$ in Terms of $ζ(2k)$ with $k\geq 1$ Introduction of an Elementary Method to Express $ζ(2n+1)$ in Terms of $ζ(2k)$ with $k\geq 1$

2008-04-30

arxiv.org/abs/0805.0030v2

Physics

Mathematical Physics

Latex ; 11 pages ; no figure ; typos corrected. This is our mathematical note

Scientific paper

In this note we give the most elementary method (as far as we know) to
express $\zeta(2n+1)$ in terms of $\{\zeta(2k)|k\geq 1\}$. The method is based
on only some elementary works by Leonhard Euler, so it is very instructive to
non-experts or students.

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