About the transcendentality of some numbers

Jamel Ghannouchi (1)

1 ESSTT - Ecole Supérieure des Sciences et Techniques [Tunis]

Everyone knows that $\pi$, $e$ or $C_n$, the Champernowne number are transcendentals, but what about $\pi+e$, $\pi+C_n$ or $e+C_n$ ? In this paper, we show a method in the goal to know if they are.

Mots clés: Numbers; \pi; transcendentality; \pi+e; e{\pi}.; e{\pi}

Domaines: Mathématiques générales [math.GM]

Jamel Ghannouchi. About the transcendentality of some numbers. 2013. ⟨hal-00808463v11⟩