Mathematician:J. Perrot

Mathematician

$\ds\lim_{n \mathop \to \infty} \dfrac {\map \Phi n} {n^2} = \dfrac 3 {\pi^2}$

where:

$\map \Phi n = \ds \sum_{k \mathop = 1}^n \map \phi k$

$\map \phi k$ is the Euler $\phi$ function of $k$.

Author of:

• 1881: Sur la sommation des nombres $\phi$ (Bull. des Sc. Math. et Astr. Ser. I Vol. 5, no. 2: pp. 37 – 40)