Editing Möbius inversion formula (section)

{{short description|Relation between pairs of arithmetic functions}}
{{redirect-distinguish|Möbius transform|Möbius transformation}}
In [[mathematics]], the classic '''Möbius inversion formula''' is a relation between pairs of [[arithmetic function]]s, each defined from the other by sums over [[divisor]]s. It was introduced into [[number theory]] in 1832 by [[August Ferdinand Möbius]].<ref>{{Harvnb|Möbius|1832|pp=105-123}}</ref>

A large generalization of this formula applies to summation over an arbitrary [[Locally finite poset|locally finite partially ordered set]], with Möbius' classical formula applying to the set of the natural numbers ordered by divisibility: see [[incidence algebra]].