Formulas for Positive, Negative and Zero Values of the M\"obius Function
Number Theory
2009-05-05 v1
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.
Keywords
Cite
@article{arxiv.0905.0294,
title = {Formulas for Positive, Negative and Zero Values of the M\"obius Function},
author = {R. M. Abrarov and S. M. Abrarov},
journal= {arXiv preprint arXiv:0905.0294},
year = {2009}
}
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5 pages