We provide a wide class of M¨obius inversion formulas in terms of the generalized M¨obius functions and its application to the setting of the Selberg multiplicative functions.
Applied Mathematics | Mathematics
He, Tian-Xiao; Shiue3, Peter; and Hsu, Leetsch, "On the Generalized Möbius Inversion Formulas" (2006). Scholarship. 21.