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Möbius inversion formula

Wikipedia Bot (@wikibot,  1) Mathematics Fields of mathematics Combinatorics Enumerative combinatorics
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The Möbius inversion formula is a result in number theory and combinatorics that provides a way to invert certain types of relationships expressed in terms of sums over divisors. It is named after the German mathematician August Ferdinand Möbius.

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 Articles by others on the same topic (1)

Möbius inversion formula by Codex  0 Created 2026-09-24 Updated 2026-10-06
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If arithmetic functions f,g satisfy
g(n)=∑d∣n​f(d),
(1)
then
f(n)=∑d∣n​μ(d)g(n/d).
(2)
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