File:Mertens.svg

[edit] Summary

Graph of Mertens function for values of n from 1 to 10,000. Note the remarkably chaotic, unpredictable movement of this function.

[edit] See also

The Mertens function to 10M

[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

This is a candidate to be copied to Wikimedia Commons. Freely licensed or public domain media are more accessible to other Wikimedia projects if placed on Commons. Any user may perform this move—please see Moving images to the Commons for more information. Please ensure that the file has a properly descriptive and unambiguous name before moving it to Commons. See here when to rename a file. If this image has been copied to Commons replace this tag with {{subst:ncd}} or {{subst:ncd|Image name on Commons.ext}} if a different filename is used on Commons. Copy to Commons: via CommonsHelper · via CommonsHelper 2 · via wmfLabs CommonsHelper

This file was flagged for transfer by a bot. Please thoroughly review the copyright status of this file and ensure that it is actually eligible for transfer to Commons. If you are concerned that this file could have problems with its attribution information and/or copyright status, then remove this notice and DO NOT transfer it to Commons. By transferring this file to Commons, you acknowledge you have read this message and are willing to accept all and any consequences for inappropriate transfers. Repeat violators will be blocked from editing.