New incidence functions related with \(\zeta\) and \(\mu\) functions defined on a finite set. (English) Zbl 1210.06009

The authors present some elementary properties of the zeta-function and the Möbius function of the lattice of all subsets of a finite set ordered by inclusion. These results may be considered good exercises in a textbook on lattice theory.


06D99 Distributive lattices
11A25 Arithmetic functions; related numbers; inversion formulas
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