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

Abstract

We 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 pages

References in corpus (1)

• Riemann Hypothesis may be proved by induction

Cited by in corpus (3)

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• Probabilistic interpretation of the Möbius function identity and the Riemann Hypothesis