TOPICS
Search

Buchstab Function

DOWNLOAD Mathematica NotebookDownload Wolfram Notebook
BuchstabFunction

The Buchstab function omega(u) is defined by the delay differential equation

{uomega(u)=1 for 1<=u<=2; (uomega(u))^'=omega(u-1) for u>2
(1)

(Panario 1998). It approaches the asymptotic value omega(u)->e^(-gamma) approx 0.561459 as u->infty (and in fact has nearly reached this value already by u approx 4).

See also

Dickman Function

Explore with Wolfram|Alpha

References

Panario, D. "Smallest Components in Combinatorial Structures." Feb. 16, 1998. http://algo.inria.fr/seminars/sem97-98/panario.pdf.

Referenced on Wolfram|Alpha

Buchstab Function

Cite this as:

Weisstein, Eric W. "Buchstab Function." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/BuchstabFunction.html

Subject classifications