Formulas for Positive, Negative and Zero Values of the Möbius Function

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/229264We obtained the formulas for the quantities of positive, negative and zero values of the Mobius function for any real x in terms of the Mobius function values for square root of x - similar to the identities we found earlier for the Mertens function [1]. Using the Dirac delta function approach [3, 2] we propose the equations showing how the Mertens and related functions can generate the output values.5 pagesNumber Theory11N05; 11A41Formulas for Positive, Negative and Zero Values of the Möbius Functiontext