Further systematic computations on the summatory function of the Möbius function

Kotnik, T.; van de Lune, Jan

In the past, the Mertens function M(x), i.e. the sum of the Moebius function ?(n) for 1 <= n <= x, has been computed for x <= 1013. We describe the results obtained by extending this range to x <= 1014, and discuss the prospects of such computations for even larger ranges.

Additional Metadata
ACM	Numerical Algorithms and Problems (acm F.2.1)
MSC	Arithmetic functions; related numbers; inversion formulas (msc 11A25), Values of arithmetic functions; tables (msc 11Y70)
Publisher	CWI
Series	Modelling, Analysis and Simulation [MAS]
Citation APA Style AAA Style APA Style Cell Style Chicago Style Harvard Style IEEE Style MLA Style Nature Style Vancouver Style American-Institute-of-Physics Style Council-of-Science-Editors Style BibTex Format Endnote Format RIS Format CSL Format DOIs only Format	Kotnik, T., & van de Lune, J. (2003). Further systematic computations on the summatory function of the Möbius function. Modelling, Analysis and Simulation [MAS]. CWI.

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