On Zeta Functions and Tetrahedral Numbers

César Aguilera (1)

1 IPN - Instituto Politecnico Nacional [Mexico]

In this short paper we analyze a possible relation between ζ(n) (for n odd and greater than one) and the Tetrahedral Numbers (number of balls in a triangular pyramid in which each edge contains n balls).[1], also the irrationality of all these (ζ) functions. Introduction.

Domaines: Mathématiques [math]; Théorie des nombres [math.NT]

César Aguilera. On Zeta Functions and Tetrahedral Numbers. 2019. ⟨hal-02297262⟩