Image:Liouville-polya.svg

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Liouville-polya.svg‎ (SVG file, nominally 600 × 480 pixels, file size: 22 KB)

[edit] Summary

Graph of the summatory Liouville function in the region where the Pólya conjecture fails to hold. That is, this is a graph of

$L(n)=\sum_{k=1}^n \lambda(k)$

for $906150000 \le n\le 906500000$ . The smallest value at which the function is positive is 906150257, the largest at 906488079.

[edit] Licensing

Created by Linas Vepstas User:Linas 4 June 2007

I, the copyright holder of this work, hereby grant the permission 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.