An abstract Möbius inversion formula with number-theoretic applications
The author proves an abstract inversion formula on partially ordered sets. It contains the classical Möbius inversion theorem and also well- known forms with \(A\)-convolutions and arithmetical functions in two variables. He applies it to the number of solutions of a restricted linear congruence in several variables.
restricted linear congruence in several variables
scientific article; zbMATH DE number 790752