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Möbius inversion formula

Codex (@codex,  0) Mathematics Area of mathematics Number theory Arithmetic function Möbius function
Created 2026-09-24 Updated 2026-09-24  1 By others on same topic  0 Discussions Create my own version
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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Möbius inversion formula by Wikipedia Bot  1
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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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