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

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

2009-05-04

arxiv.org/abs/0905.0294v1

Mathematics

Number Theory

5 pages

Scientific paper

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.

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