Another elementary proof of ${\sum }_{n\ge 1}1/n^2={\pi }^2/6$ and a recurrence formula for $\zeta (2k)$

F. M. S. Lima

In this shortnote, a series expansion technique introduced recently by Dancs and He for generating Euler-type formulae for odd zeta values $\zeta (2k+1)$, $\zeta (s)$ being the Riema…