File:Mertens-big.svg

[edit] Summary

Graph of Mertens function for values of n from 1 to 10 million. Note the remarkably chaotic, unpredictable movement of this function.

[edit] See also

The Mertens function to 10K

[edit] Licensing

Created by User:Linas, Linas Vepstas, 2 July 2006

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts.

This work is licensed under the Creative Commons Attribution-ShareAlike 3.0 License. This licensing tag was added to this file as part of the GFDL licensing update.

[edit] Source code

Created with gnuplot, with the following markup:

set term svg
set out 'mertens.svg'

set data style lines
unset zeroaxis
set xtics border
set ytics border

set bmargin 5
set lmargin 7

set title "Mertens function"
set xlabel "n" 1,0
set ylabel "M(n)" 1, 0
plot "mertens.dat" using 1:2 title "" with lines linewidth 2

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